A football tube in the form of a sphere is inflated so that it radius increases in the ratio 4:3 . Find the ratio in which the volume is increased. ​

Answers

Answer 1

Answer:

The volume is increased in a ratio of 64/27

Explanation:

The Volume of a Sphere

The volume of a sphere of radius r is given by:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

If the radius was changed to r', the new volume would be:

[tex]\displaystyle V'=\frac{4}{3}\cdot \pi\cdot r'^3[/tex]

Dividing the latter equation by the first one:

[tex]\displaystyle \frac{V'}{V}=\frac{\frac{4}{3}\cdot \pi\cdot r'^3}{\frac{4}{3}\cdot \pi\cdot r^3}[/tex]

Simplifying:

[tex]\displaystyle \frac{V'}{V}=\frac{r'^3}{r^3}[/tex]

Or, equivalently:

[tex]\displaystyle \frac{V'}{V}=\left(\frac{r'}{r}\right)^3[/tex]

Since r':r = 4:3, thus:

[tex]\displaystyle \frac{V'}{V}=\left(\frac{4}{3}\right)^3[/tex]

[tex]\displaystyle \frac{V'}{V}=\frac{4^3}{3^3}[/tex]

[tex]\displaystyle \frac{V'}{V}=\frac{64}{27}[/tex]

The volume is increased in a ratio of 64/27


Related Questions

A car accelerates at a rate of 2.0 m/s2. If its original speed is 8.0 m/s, how many seconds will it take the car to reach a final speed of 28.0 m/s?

Answers

Answer:

[tex]\huge\boxed{\sf Time = 10 \ seconds}[/tex]

Explanation:

Given:

Initial Velocity = [tex]\sf V_{i}[/tex] = 8.0 m/s

Final Speed = [tex]\sf V_{f}[/tex] = 28.0 m/s

Acceleration = a = ?

Required:

Time = t = ?

Formula:

[tex]\sf a = \frac{V_{f} - V_{i}}{t}[/tex]

Solution:

[tex]\sf 2 = \frac{28-8}{t} \\\\2 = \frac{20}{t} \\\\t = \frac{20}{2} \\\\t = 10 \ seconds\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

2. State law of conservation of
momentum and apply conservation of
momentum in elastic collision of two
objects.​

Answers

Answer:

In collisions between two isolated objects Newton's third law implies that momentum is always conserved. In collisions between two isolated objects momentum is always conserved. Kinetic energy is only conserved in elastic collisions.

Explanation:

Which option is a compound?
A. Oxygen

B. Carbon

C. Carbon dioxide

D. Air

Answers

Answer: Carbon Dioxide.

Explanation: Oxygen and Carbon are both elements, so they can’t be compounds. Air is a mixture of gasses, not a compound.

A cruise started its trip 8:00. its average speed was 100 km/h. when it traveled 2/5 of its journey by 12:00, the boat changed its speed. if the boat was required to arrive at the destination at 17:00 what average speed must the boat travel at for the remaining journey?

Answers

Answer:

Explanation:idk

write down local units of mass?​

Answers

Answer:

Explanation: local unit of mass is kilogram

a car initially traveling at 5 m/s accelerates for 2 seconds at 3 m/s. how far does it travel during this time?

Answers

Answer:

x = 16 [m]

Explanation:

This problem can be solved using the following equation of kinematics.

[tex]v_{f}=v_{o}+a*t[/tex]

where:

Vf = final velocity [m/s]

Vo = initial velocity = 5 [m/s]

a = acceleration = 3 [m/s²]

t = time = 2 [s]

[tex]v_{f}=5+3*(2)\\v_{f}=11[m/s][/tex]

Now we can find the displacement using the following equation of kinematics.

[tex]v_{f}^{2} =v_{o}^{2} +2*a*x\\11^{2}=5^{2} +2*3*x\\96=6*x\\x=16[m][/tex]

A girl walks 0.3 m/s. She moves 0.8 m/s 5 s later.

What is the girl’s acceleration?

0.8 m/s

0.5 m/s, 2

0.3 m/s

0.1 m/s2

Answers

Answer:

a = 0.1 [m/s²]

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]v_{f}=v_{o}+a*t[/tex]

Vf = final velocity = 0.8 [m/s]

Vo = initial velocity = 0.3 [m/s]

a = acceleration [m/s²]

t =  time = 5 [s]

[tex]0.8=0.3+a*t\\0.5 = 5*a\\a = 0.1 [m/s^{2}][/tex]

A lamp draws a current of 20 A when it is connected to a 100 V source? What is the resistance of the lamp?

Answers

Explanation:

R = V / I = 100V / 20A = 5 ohms.

A sled is pushed to right with a force of 200 N. The force of friction opposing that motion is 50 N. a) What is the Net Force on the sled? b) assuming the mass of the sled is 30 kg, use Newton's 2nd Law equation to determine the acceleration. Include units in BOTH of your answers! *

Answers

Answer:

Fr = 150 [N]

a = 5 [m/s²]

Explanation:

In order to find the resulting force, we must assume that the thrust force is positive to the right, while the friction force is negative to the left.

[tex]F_{r}=200-50\\F_{r}=150[N][/tex]

Now Newton's Second Law tells us that the sum of the forces or the resulting force is equal to the product of mass by acceleration.

F = m*a

[tex]150 = 30*a\\a=150/30\\a = 5 [m/s^{2} ][/tex]

will give Brainliest to correct
the original source of all sand is:
beaches
oceans
rocks
rivers

Answers

Answer:

The original source of all sand is rocks.

Hope I helped sorry if I didnt

Answer:

answer is rocks

Explanation:

It’s rocks because all sand it Little Rock’s that have been smashed into smaller pieces over the years and decade, and that’s how rivers go sand to because some of the broke down rocks would fall into the river and eventually be carried in the ocean and washed in shore. And that’s how we got beaches

how is this please help me​

Answers

Answer:

jsjsjsjsmkskskskksksks

HELP ASAP!! WILL TRY TO GIVE BRAINLIEST

How are facilitated diffusion and active transport similar and different?

Answers

Answer:

Facilitated diffusion and active transport both utilize proteins to transport substances across membranes. Differences between active transport and facilitated diffusion 1. Active transport requires an input of energy, usually ATP, while facilitated transport does not.

No one falls out during a loop on a
rollercoaster because of _____.

Answers

Answer:

Seatbelts

Explanation:

Resistance to change in motion. it presses tour body outside of the loop, keeping you inside the cart

Seat belts or safety straps because it keeps you tucked in the seet.

Four identical bulbs are set up in a series circuit with an 8V battery. The voltage across each bulb is...

Answers

Explanation:

Voltage across each bulb = 8V / 4 = 2V (Potential difference)

Answer:

2 (8 ÷ 4) volts.

According to the passage, in a series circuit, “the voltage is shared across all the bulbs.” If the bulbs are of equal resistance, the voltage across each will be ¼ of the battery’s 8 volts or 2 volts.

i got it right on flocabulary.com

Explanation:

An icicle falls off of a skyscraper from rest and falls for 34 seconds. How far did the icicle fall? Show all work and units. (a = g = 9.81 m/s^2) *

Answers

Explanation:

u = 0.0m/s

t = 34s

a = 9.81m/s²

Using Kinematics,

s = ut + 0.5at²

= 0 + 0.5(9.81)(34)²

= 5,670.18m.

Which of the following substances can be separated into several elements?
A. nitrogen B. zinc
C. air D. aluminum

Answers

Answer: C

Explanation: Air

Hope this helps! Brainlist Plz?

The following substances can be separated into several elements is the air because consisting of a mixture of several gases, such as nitrogen, oxygen, carbon dioxide and noble gases.

What is air composed of?

Atmospheric air is made up of a mixture of several gases, such as nitrogen, oxygen, carbon dioxide and noble gases. Oxygen and nitrogen are the most abundant gases, with the other gases being found in smaller amounts.

So the only element that we can separate into is air, because when performing the separation we find oxygen, nitrogen, carbon dioxide and noble gases.

See more about air at brainly.com/question/19368011

#SPJ2

Please answer:
Galileo, in order to measure the speed of light, performed this simple
experiment: He and his assistant each took a lantern that had a shutter in front of it,
and stood on hilltops one mile apart in the night.
Galileo was to flash his lantern, and the assistant was to open the shutter of his own
lantern as soon as he saw the light from Galileo's lantern. Galileo had planned to
measure the time taken for light to travel from one hill to the other and back, and
calculate the speed of light using the formula, Speed = distance traveled / time
taken But he could not measure the speed of light using this method. What could
have been the reason for this?
A. The distance between the two hills was too much for them to see the light from
the other person's lantern.
B. Light does not travel in straight lines and so the distance traveled by it cannot
be measured.
C. The time taken for the light to travel would have been too little to have been
measured by them.
D. Light does not travel because it is present everywhere, so its 'speed' cannot be
calculated
I asked this question before also please answer

Answers

Answer: C. The time taken for the light to travel would have been too little to have been  measured by them.

Explanation:

Light travels at a speed of 300,000 km per second which is much too fast for the naked eye to even comprehend. This is why light shinning in a distance is picked up instantaneously by out eyes.

This experiment done by Galileo would therefore be unable to measure the speed of light because the light from either lantern would have traveled too fast for Galileo to be able to measure the time taken.

Which of the following is true about the plants in the picture below?*
5 points
Tall is represented by (T) and short is represented by (t).
TT
Tt
They have the same phenotypes
They have the same genotypes.
They have the same alleles.
They are both short

Answers

Explanation:

We know that for the plant;

         Tall is represented by T

         Short is represented t

Phenotypically, TT and Tt have the same expression.

The phenotype of an organism denotes the observable feature it possesses. Although determined by the genetic composition but the environment plays a very important role in its expression.

The genotype is the genetic make up of an organism. TT and Tt denotes the genes that occupy positions in the nucleus of the cell.

Both TT and Tt shows that the organism is tall. t is short and recessive.

Dont decorate a tree in front of a cat lol we finished decorating the tree last night and the cat climbed up the tree and knocked it over XD

Answers

You should’ve ate the cat , that’s the only reasonable way to get revenge :)

What is the direction of the centripetal force when applied to an object?

Answers

Answer:

It would move in a line tangent to the circular path

Explanation:

Yes that’s the answer good luck

THIS IS THE LAST TIME I POST THIS QUESTION SO PLEASE JUST ANSWER IT AND IF YOU HAVE A QUESTION THEN PUT IT ON THE COMMENTS NOT THE ANSWER

Answers

Answer:

1. Name 3 items in nature that contain high concentrations of proteins.

Answer: Animal products like milk, eggs, and meat have really concentrated protein. (nuts and plants you can eat also are really concentrated)

2. What is similar about the primary structure of each protein?

Answer: The primary structures have a balanced level of amino acids.

3. For the proteins you researched, how does the structure help the protein perform its function?

Answer: The primary structure is reflected on its folded structure and that folded structure determines the proteins function.

Explanation:

its kinda hard to answer the questions without you telling us which 2 proteins you wanted to research but i think the easiest options would be eggs and meat.

A gas sample occupies 6.2 L at a pressure of 201 kPa. What volume will it occupy if the pressure is increased to 335 kPa? The temperature remains the same.

Answers

Answer: The volume of the gas at the increased pressure will decrease to 3.72L.

Explanation:

Boyle's law states that the volume occupied by a fixed mass of gas is inversely proportional to the pressure, provided temperature is kept constant. That is,

PV=K

P1V1 =P2V2

P1= 201 kpa

V1 = 6.2L

P2= 335kpa

V2= ?

Making V2 the subject of formula,

V2= P1V1/P2

V2= 201× 6.2/335

V2= 1246.2/336

V2= 3.72L

Thus, the volume of the gas decreases as the pressure increases. Hope this helps, thanks

Answer:

The volume will be 3.72 L.

Explanation:

We can find the new volume by using the Ideal Gas Law:

[tex] PV = nRT [/tex]

Where:

P: is the pressure

V: is the volume

n: is the number of moles

R: is the gas constant

T: is the temperature

Initially, we have:

[tex]P_{1}V_{1} = nRT[/tex]   (1)

with V₁ = 6.2 L, P₁ = 201 kPa and nRT = constant

When the pressure is increased we have:

[tex] P_{2}V_{2} = nRT [/tex]   (2)

with V₂ =?, P₂ = 335 kPa and nRT = constant

By equating (1) and (2) we have:

[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]

[tex] V_{2} = \frac{P_{1}V_{1}}{P_{2}} = \frac{201 kPa*6.2 L}{335 kPa} = 3.72 L [/tex]

Therefore, the pressure is increased to 335 kPa the volume will be 3.72 L.

I hope it helps you!

Which of the following would have the least amount of inertia? Assume all the bags are the same size.

bag of rocks
bag of feathers
bag of bricks
bag of sand

Answers

bag of bricks would be the correct answer

If a car has a kinetic energy of 40000 J and is moving at a velocity of 25 m/s, what is the mass of the car? KE=1/2mv

Answers

Answer:

3200 Kg

Explanation:

Just apply the formula:

40.000 = 1/2 . m . 25

80.000 = 25m

m = 80.000/25

m = 3200 Kg

role play pokimon only

Answers

Answer:

huh

Explanation:

im so confused

Answer:

eevee

Explanation:

A new copy of DNA is built from individual genes . The enzyme unwinds the DNA molecule, allowing replication to begin.

Answers

Answer:

This question is incomplete, the question is asking which enzyme unwinds the DNA molecule during DNA replication.

The answer is DNA HELICASE

Explanation:

DNA replication is the process whereby DNA molecule (genetic material) is duplicated in the genome i.e. DNA makes an identical copy of itself. The process of DNA replication is carried out in a step by step manner with various enzymes functioning specifically throughout the process.

The first step is to unwind the double-stranded DNA molecule into two single strands. The two single strands serves a templates to synthesize another pairing strand to make two DNA molecules in total. The unwinding of the DNA strands is carried out by an enzyme called DNA helicase.

Answer:

A new copy of DNA is built from individual  

✔ nucleotides

.

The enzyme  

✔ helicase

unwinds the DNA molecule, allowing replication to begin.

Explanation:

Which statement best describes the overall function of the human respiratory system? A. The heart pumps blood containing carbon dioxide into the lungs, where it is absorbed. B. Oxygen is transferred into the blood, which circulates the gas throughout the body. C. Oxygen is taken into the lungs and exchanged for carbon dioxide, which is exhaled. D. Carbon dioxide is taken into the lungs and exchanged for oxygen, which is absorbed.

Answers

Answer:

C

Explanation:

During respiration, oxygen diffuses into the lung (carbon dioxide diffuses out), gets into the blood, and is transported around the body. The hemoglobin of the blood distributes the oxygen to the various cells and carbon dioxide from these cells diffuses into the blood. The blood travels back to the lung where the carbon dioxide is exchanged for oxygen once again. The carbon dioxide is eventually exhaled out of the nose.

The correct option is C.

A ball of Mass M is swung in a vertical circle with a constant tangential speed. Figure 1 shows the forces exerted on the ball at the top of the circle, and Figure 2 shows the forces exerted on the ball at the bottom of the circle. Which of the following is an expression for the centripetal acceleration of the ball in terms of M, T1, T2, and any fundamental constants?

Answers

Answer:

T1+T2/2M

Explanation:

The expression for the centripetal acceleration for the vertical circle is [tex]a_c = \frac{T_1 + T_2 }{2m}[/tex].

In a vertical circular motion, the tension of the swing at the top of the circle is given as;

[tex]T_1 =m a_c_{top} - mg\\\\T_1 = ma_c - mg\\\\mg = ma_c - T_1[/tex]

The tension of the swing at the bottom of the circle is given as;

[tex]T_2 = ma_{bottom} + mg\\\\T_2 = ma_c + mg[/tex]

solve the two equations together;

[tex]T_2 =ma_c + ( ma_c -T_1)\\\\T_2 = ma_c + ma_c - T_1\\\\T_2 + T_1 = 2ma_c\\\\a_c = \frac{T_1 + T_2}{2m}[/tex]

Thus, the expression for the centripetal acceleration for the vertical circle is [tex]a_c = \frac{T_1 + T_2 }{2m}[/tex].

Learn more here:https://brainly.com/question/14881568

A container of height 30cm has a capacity of 1.5litres. What is the height of similar container of capacity 3m^3. ​

Answers

Answer:

Height = 378 cm

Explanation:

see image

Explain how to find the acceleration of an object that has one-dimensional horizontal motion.

Answers

acceleration is how much the velocity changes within a period of time so,

Acceleration= is the change in velocity divided by change in time

your units will be m/s squared
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