Find the volume of a cone with a base radius of 4 ft and a height of 8 ft.
Write the exact volume in terms of , and be sure to include the correct unit in your answer.

Find The Volume Of A Cone With A Base Radius Of 4 Ft And A Height Of 8 Ft.Write The Exact Volume In Terms

Answers

Answer 1

Answer:

42.67π ft³

Step-by-step explanation:

Given

base radius = 4 feetheight = 8 feet

Formula

Volume of a cone = 1/3πr²h

Solving

V = 1/3 x π x (4)² x 8V = 128/3 x πV = 42.67π ft³

Related Questions

Use the explicit rule to find a12. an=-2n+8

Answers

The explicit rule formula an = -2n + 8 is an arithmetic progression

The value of a11 is -14

How to evaluate the explicit rule?

The explicit rule formula is given as:

an = -2n + 8

Substitute 11 for n to calculate a11

a11 = -2 * 11 + 8

Evaluate the product

a11 = -22 + 8

Evaluate the sum

a11 = -14

Hence, the value of a11 is -14

Read more about explicit rules at:

https://brainly.com/question/12119793

The rectangular model is made up of squares. Each square is of equal size. What percentage of the model is shaded?​

Answers

Answer:

44.5 percent is shaded.

from whole model, 44.5% is shaded of 100%

when each edge of a cube is decreased by 1 cm, its volume is decreased by 91 cm^3 .Find the length of the a side of the original cube.

Answers

Step-by-step explanation:

the original side length is x.

the volume of a block is length × width × height.

so, for a cube with all sides being equal, the volume in our case is x³ (x × x × x).

now, with the same formula but with every side shortened by 1 cm we get

(x-1)(x-1)(x-1) = x³ - 91 (the original volume minus 91)

now, we have to do the multiplications.

(x-1)(x-1) = x² - 2x + 1

(x²-2x+1)(x-1) = x³ - x² - 2x² + 2x + x - 1 = x³ -3x² + 3x -1

x³ - 3x² + 3x - 1 = x³ - 91

-3x² + 3x = -90

-x² + x = -30

x² - x = 30

x² - x - 30 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -1

c = -30

x = (1 ± sqrt((-1)² - 4×1×-30))/(2×1) =

= (1 ± sqrt(1 + 120))/2 = (1 ± sqrt(121))/2 =

= (1 ± 11)/2

x1 = (1 + 11)/2 = 12/2 = 6

x2 = (1 - 11)/2 = -10/2 = -5

a negative number does not make any sense for a side length, so our solution is x = 6 cm.

the original side length of the cube is 6 cm.

to check :

6³ = 216

(6-1)³ = 5³ = 125

216 - 125 = 91

perfect.

(a) Make y the subject of 3y - 2x = 5.
(b) Hence, find the value of y when x= -2.

Answers

Answer:

a) 5/2

b) 1/3

Step-by-step explanation:

a) 3y-2x=5 to find the value of y let we replace x by 0

then solve it

Answer:

(a) y = 2/3x + 5/3

(b) y = 1/3

Step-by-step explanation:

(a) Make y the subject of 3y - 2x = 5

3y - 2x = 5

    + 2x + 2x ==> isolate the variable y, by adding 2x to both sides

3y = 2x + 5 ==> divide both sides by three

/3       /3

y = 2/3x + 5/3 ==> y now becomes the subject, or our final answer

(b) Using 3y - 2x = 5 or y = 2/3x + 5/3,  find the value of y when x= -2

y = 2/3x + 5/3

y = 2/3(-2) + 5/3 ==> substitute -2 for x

y = -4/3 + 5/3 ==> add the fractions

y = 1/3 ==> the value of y, our final answer

OR

3y - 2x = 5

3y - 2(-2) = 5 ==> substitute -2 for x

3y - (-4) = 5

3y + 4 = 5 ==> --4 makes a +4, the subtract 4 (-4) from both sides

     - 4  - 4

3y = 1 ==> divide both sides by 3

/3    /3

y = 1/3 ==> your final answer

Hope this helps!

10. Membership to gym A is $40 per month
plus a $60 registration fee. Gym B charges
$55 per month and no registration fee.
After how many months will the
membership cost be the same?
efine the variable, write an equation, and solve

Answers

Answer:
4 months

Steps:
A = 40 per month + 60 fee
B = 55 + 0 fee

Let m represent the number of months.
40m + 60 = 55m

Subtract 40m from both sides.

40m + 60 = 55m
-40m -40m

60 = 15m

Divide both sides by 15.

60 = 15m
/15 /15
4 = m

write and evaluate an equation or inequality for each situation.


Alexandria has a base pay of $600 increased by her commission (x) totals $740.​

Answers

The equation is 740 = 600x
And x = 37/30

If year boys built 3/14of an igloo and year 3 girl have built 3/7of the same igloo.How much have they built in all?How much is left? Show your working out?​

Answers

Answer:

year boy built an igloo =3/4

year3 girl built same igloo=3/7

To find out all together how much have built =3/4+3/7

if we take alceam

4×7=28

in fraction down we need to make 28

so 3/4 we multiply by 7 and 3/7we multiply by 4

3×7/4×7+3×4/7×4=21/28+12/28=21+12/28

33/28

to find out we divide fraction we will know what left .

1,5/28

5is left.

What is the area of this triangle?
y
5
D
4
F
Enter your answer in the box.
3
2
1
E
units2

Answers

Answer: 6 units squared.

Step-by-step explanation: The equation for area of a triangle is 1/2 * length of base * the length of the height.

The length of the base is D to E, which is 3 units.

The length of the height is from F to the base of the triangle, which is 4 units.

Therefore, the area of the triangle would be 1/2 * 3 * 4 = 6 units squared.

a fair coin is flipped 11 times exactly 9 are tails

Answers

The probability of having tails is 9/11

Data;

N = 11tails = 9Probability

This is the possibility of an event occurring. In a sample space of 11 coin flips, tails came up 9 times and head came up 3 times

Number of time head came up = [tex]11-9 = 3[/tex]

The probability of having tails is calculated as

[tex]p = \frac{9}{11}[/tex]

The probability of having head is calculated as

[tex]p = \frac{3}{11}[/tex]

The probability of having tails is 9/11

Learn more on probability here;

https://brainly.com/question/24756209

7. (a) A line has the equation y = 6x – 3 and goes through the point (4, a).
Calculate the value of a.

Answers

[tex]a = 6(4) - 3 = 24 - 3 = 21[/tex]

Can I pleae get some help i dont get it

Answers

Answer:

Step-by-step explanation:

Initial value ( y - value) for  Function A is 12.

For B its 3(-1) + 2 = -1   so the answer is Function A.

Answer:

Find 'Function A's linear equation by using point-slope formula;

y - y1 = m(x - x1)

Where y1 = your first y-coordinate in any pair, and x1 = your first x-coordinate in the following pair used for the y-coordinate, and lastly m = slope.

But, we do not have the slope so we use the formula to find the slope(rise/run) of any two random points;

y2(second y-coordinate) - y1(first y-coordinate)

______________________________________

x2(second x-coordinate) - x1(first x-coordinate)

We plug in these values using any two ordered pairs, so I'll just use (-1,12) and (0,8).

12 - 8           4

_____ = ______ = -4/1 or -4 is the slope, so now we utilize this slope into

-1 - 0           -1

our point slope formula:-

y - y1 = m(x - x1)

For this, we just use one arbitrary pair, I'll use (-1,12).

So,

y - 12 = -4(x - (-1))

simplify

y - 12 = -4x - 4

isolate y by adding 12 to both sides (inverse operation of subtraction is addition)

+12         +12

y = -4x + 8, is the function for A.

Now let's compare the y-intercepts of both of these functions because we want to see which one has the greatest initial value.

Function A: y = -4x + 8, 8 is the y-intercept in this case.

Function B: y = 3x + 2, 2 is the y-intercept in this case.

Compare;

8 > 2, therefore Function A has a greater initial value.

An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?

A.
5 in.3

B.
7 in.3

C.
19 in.3

D.
29 in.3

Answers

The approximate difference of the volume of the two spherical fruits is: C. 19 in.³.

What is the Volume of a Sphere?

Volume of sphere = 4/3πr³

The orange and the grapefruit are spherical in shape. Therefore:

Volume of orange = 4/3πr³ = 4/3π(1.5)³ = 14.14 in.³

Volume of grapefruit = 4/3πr³ = 4/3π(2)³ = 33.51 in.³

Difference in volume = 33.51 - 14.14 = 19.37

Therefore, the approximate difference of the volume of the two spherical fruits is: C. 19 in.³.

Learn more about the volume of sphere on:

https://brainly.com/question/22807400

The number 100 can be written as the sum of a 1-digit prime number and a 2-digit prime number. What is the product of these prime numbers?

Answers

Answer:

Answer: 3 + 97

Step-by-step explanation:

Just off the top of my head, I'm pretty sure that the answer you want is 3 and 97.

The single digit primes are 2 3 5 7

2 + 98 is what you are forced to use. 98 is not prime

3 + 97 is the answer I gave.

5 and 95 Ninety five is not prime (5 divides into it).

7 and 93 but 93 is not prime. 3 will divide into it.

Altitude is the height in relation to sea level. Umar walks from a valley to a hilltop. The valley has an altitude of -32 1/2 feet. The hilltop has an altitude of 85 3/4 feet. What is the altitude change from the valley to the hilltop?

Answers

Answer:

118.25

Step-by-step explanation:

integration of csc^2(9x)dx​

Answers

[tex]\displaystyle \int csc^2(9x) dx \\\\=\dfrac 19\displaystyle \int \csc^2 u ~du~~~~~~~;\left[\text{Let}~u= 9x \implies dx = \dfrac{du}9\right]\\\\=-\dfrac 19 \cot u + C\\\\=-\dfrac 19 \cot(9x)+C[/tex]

1 yards equals 3 feet in one mile equals 5280 feet how many yards are in 5 MI

Answers

Answer:

A conversion calculator gave me 8800

what is y=-2x+5 as standard form

Answers

Answer:

2x + y = 5

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y = - 2x + 5 ( add 2x to both sides )

2x + y = 5 ← in standard form

Answer:

 y=-2x+5 as standard form is 2x+y=5

n expression is shown below. -x + 1 + 4x - 3

Answers

Answer:

3x - 2

Step-by-step explanation:

Collect like timers. -x + 4x = 3x and -3 + 1 = -2, 3x - 2

Hey there!

-x + 1 + 4x - 3

= -1x + 1 + 4x - 3

COMBINE the LIKE TERMS

= (-1x + 4x) + (1 - 3)

= -1x + 4x + 1 - 3

= 3x - 2


Therefore, your answer is: 3x - 2


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

PLEASE HURRY! (pt 2)
A bag of tokens contains 99​​ red, 77​​ green, and 77​​ blue tokens. What is the probability that a randomly selected token is blue or green? Enter your answer as a fraction.

Answers

Answer:

14/23

Step-by-step explanation:

There are 253 tokens in all. Since 77 are blue and 77 are green, the probability of selecting either a blue token or a green token is 154/253, which reduces to 14/23.

Madison bought b pounds of bananas and p pounds of pears and spent a total of $10.38. The price of bananas is $0.60 per pound. The price of pears is $1.74 per pound.
Create an equation that models the total amount of money that madison spend on fruit

Answers

Answer:

10.38 = 0.60b + 1.74p

Step-by-step explanation:

What is the value of 350−30(−14+2.5)

Answers

Answer:

695

Step-by-step explanation:

So for thus, you need to follow PEMDAS

First, Parentheses

(-14 + 2.5) = -11.5

Skip E, there are no Exponents

Now for Multiplication

30 * (-11.5) = -345

Lastly, Subtraction

350 - -345

Becomes 350 + 345 = 695

Answer:

The answer is 695.

350-30(-14+2.5)=695.

Select all the numbers that round to 5.6
when rounded to the nearest tenth.
A. 5.058
B. 5.54
C. 5.56
D. 5.58
E. 5.590

Answers

Answer:

C, D, and E are the answers.

Please help asap i will give brainlist!!!!

Answers

Answer:

The answer is D

Step-by-step explanation:

This is because 5π is equal to 15.7

Please help! I will mark brainliest

Answers

Answer: C

Step-by-step explanation:

Statement C is true

The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.

Interquartile range =  [tex]\underline{Q_{3} - Q_{1}}[/tex]

For bus drivers  = 30 - 5 = 25 miles

For teachers = 25 - 5 = 30 miles

Distance of bus drivers = distance of teachers - 5 miles

Not spinning a 5 and flipping tails
Btw the spinner is 1-5

Answers

Answer:

Im confused w ur question or i dont know maybe im just dum.b

Step-by-step explanation:

This may be wrong because your question is not fully explained in depth but I believe you are spinning a 1-5 spinner and a flipping a coin. This would be 4/5 for the spinner and 1/2 in the coin which multiplied eaqual 4/10, or 40%. *MAY BE WRONG*

I’ll give brainiest to the best solved An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?

A.
4 : 9

B.
8 : 27

C.
9 : 4

D.
27 : 8

Answers

The volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone

The volume of a cone is calculated as:

For the small cone, we have the following parameters:

Diameter = 3 inches

Height = 3.5 inches

Diameter = 4.5 inches

Height = 5.1 inches

So, the volume of the large cone is:

Calculate the difference of both volumes

Hence, the volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone

Read more about volumes at:

brainly.com/question/8994737

everyone please answer one of these my birthday tuesday but i might be in trouble if i fail this :(

Answers

Answer:

11. b

10.d

9.c

7.b

1.d

the rest I can't see clearly

please give brainiest

Step-by-step explanation:

11.

3/x-4=7/x

*cross multiply

3x=7 (x-4)

3x=7x-28

28=7x-3x

28=4x

x=7

10.

SOHCAHTOA

Cos☆=11/14

cos^-1 (11/14)

☆=38.21 degrees

9.

MLN CONGRUENT TO WBN

ML/WB=LN/BN=MN/WN

LN/BN=10/6

ML/WB

24/x=10/6

24x6=10x

144÷10

=14.4

6^2+14.4^2

=243.36

squareroot

=15.6

Write1 3/4 as a decimal and as a percent

Answers

Answer:

the decimal is 1.75 and  The percentage is 175%

Step-by-step explanation:

the question is in the attachment

Answers

Answer:

1 and 7

Step-by-step explanation:

let me know if this is helpful!

Can someone please help me I I’ll give u brainest

Answers

Answer:

b. translation, rotation

Step-by-step explanation:

When a shape is translated, that just means nothing about it has changed except it's location on the coordinate plane. This is that happened with shape 1 - it was translated, and that created shape 2.

When a shape is rotated, that just means it is turned (or rotated) at a specific point. This is what happened to shape 2 that changed it to shape 3.

The other two transformations that aren't shown in this specific example are dilation, which means that the shape either shrinks or grows, and reflection, which means that the shape is reflected across the y-axis or the x-axis.

I included a picture with all four transformation examples in it. I hope this helps! Have a lovely day!! :)

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