The ice cream cone has a radius of 3 cm and a height of 10 cm. If the scoop of ice cream is a sphere with radius of 3.5 cm, will all of the ice cream fit inside the cone?

Answers

Answer 1

Answer:

No, ice cream cannot fits inside the cone.

Step-by-step explanation:

radius of cone, r = 3 cm

height of cone, h = 10 cm

radius of ice cream sphere, R = 33.5 cm

The volume of the cone is

[tex]V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc[/tex]

Volume of ice cream

[tex]V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc[/tex]

As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.


Related Questions

F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8

Answers

Answer:

F= 40

Step-by-step explanation:

F=ka

25 = k 5

k = 5

F=5a

F=5*8

F= 40

Use the graph to determine the input value for which f(x) equals G(x) is true x=0.5,x=1, x=1.5,x=2

Answers

Step-by-step explanation:

1.5 is the answer I just tried it and got it correct

Answer:

1.5 I just got the correct answer on edge

Hence, determine the length of AB. (Correct to TWO decimal places).​

Answers

Answer:

sorry also maybe a diagram would have helped

What is the first step in solving the quadratic equation -5x2+8=133

Answers

Answer:

subtracting 8 from both sides of the equation

Step-by-step explanation:

You have to get rid of +8 before squaring both sides.

х
f(x)
18
6
What is the decay factor of the exponential function
represented by the table?
-1
0
1
2.
WINNO
o
O 2
O 2
O 6

Answers

Answer:

winno o 6

Step-by-step explanation:

Someone pls pls pls solve this!!!!!!! And pls explain how u solved it. I need this due rn ASAP!!!

Answers

Answer:

What's the question? Please post the full question

Answer:This angle is a 35 degree angle

Step-by-step explanation:

structions: Drag and drop the correct name for each angle. Each angle has more than one name so be sure to identify all the correct names

Answers

Answer:

1) I, 4, HIJ

2) G, 1, HGF

3) J, 2, IJK

Step-by-step explanation:

Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.

dot plot titled Number of Golfers for Week 1 with number line labeled Age of Golfer, 1 dot at 62, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, and 2 dots at 89

dot plot titled Number of Golfers for Week 2 with number line labeled Age of Golfer, 2 dots at 62, 3 dots at 64, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, 2 dots at 85, 3 dots at 86, and 2 dots at 89

The range for Week 1 equals the range for Week 2.
The range for Week 1 is greater than the range for Week 2.
The median for Week 1 is less than the median for Week 2.
The mean for Week 1 is greater than the mean for Week 2.

Answers

Answer:

The median for Week 1 is less than the median for Week 2.


What would happen if you subtracted the equation for z from the equation for 10z?



Answers

Answer:9z

Step-by-step explanation:10z-1z=9z

Answer:

the answer would be 3

Step-by-step explanation:

9z = 3

If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A.
no
B. b + 15
O Ο Ο Ο
C. b- 15
D. b. 15

Answers

If b = the number of boys, which algebraic expression represents the phrase

below?

the sum of the number of boys and 15 girls

A.

no

How do I solve for x?

Answers

Multiply both sides by 2

Can somebody help I’ll give brainless

Answers

Answer:

194.51

Step-by-step explanation:

Find 6% of 183.50

183.50 * 6%

183.50 * .06

11.01

Add this to the original price

183.50+11.01

194.51

The first and second steps to solve the equation 3x/5+5=20 are shown below

Answers

Answer:

The solution of the equation is:

x = 25.

Step-by-step explanation:

To solve the equation:

[tex]\frac{3x}{5}+5=20[/tex]

First, you must add the terms 3x/5 and 5:

[tex]\frac{3x+25}{5}=20[/tex]

Now, you pass the number that is dividing (5), to multiply to the other side of the equality and operate:

3x + 25 = 20 * 53x + 25 = 100

Next, you pass the number that is adding (25), to subtract to the other side of the equality and operate:

3x = 100 - 253x = 75

At last, you pass the number that is multiplying the unknown variable, to divide to the other side of the equality and operate:

[tex]x=\frac{75}{3}[/tex]x = 25

If we use this value in the original equation, we can prove if it's the correct:

[tex]\frac{3x}{5}+5=20[/tex][tex]\frac{3*25}{5}+5=20[/tex][tex]\frac{75}{5}+5=20[/tex][tex]15+5=20[/tex]20 = 20

As you can see, the result x = 25 is the correct.

The expected (mean) life of a particular type of light bulb is 1000 hours with a standard deviation of 50 hours. The life of this world is normally distributed what is the probability that a randomly selected bulb would last fewer than 940 hours?

Answers

Answer:

11.5%

Step-by-step explanation:

To solve this problem, we can use the knowledge that there are z score tables that calculate probabilities based on z scores. Thus, we must calculate the z score.

The z score formula is [tex]\frac{x- m}{s}[/tex] , where x is the value, m is the mean, and s is the standard deviation. We can then plug our values in to get [tex]\frac{940-1000}{50} = \frac{-60}{50} = -1.2[/tex] as our z score. Plugging this into a table where table values represent the area to the left of the z score (as we want to calculate everything under 940), we get 0.115, or 11.5% as our answer

Plot the points (-6,8) and (-6,-3) on the coordinate plane below.
What is the distance between these two points?
units

Answers

Step-by-step explanation:

the distance between these two points is 11 units

Please help I’ll give brainliest

Answers

Answer:

$48

Step-by-step explanation:

$160 * 0.05 = $8

$8 * 6 = $48

Hope this helps

Answer:

48

Step-by-step explanation:

Please Mark me brainlist

What is the slope and y intercept of the equation?
y=1/2x
m=
b=

Answers

⊹˚ʚ ❑Answer︰slope is 1/2 and y-int. is 0

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

Please help me ASAP

Answers

Answer:

4. =3 ft

5. 2/1.25 lb

Answer:

4) 3 ft = 36in  ⇔   [tex]\frac{36in}{12in}[/tex]  = 3 inches

5) 2 lb = 32 oz  ⇔  [tex]\frac{32oz}{20oz}[/tex]  = 1.6 oz

The price of an item has been reduced by 25% . The original price was $20 . What is the price of the item now?

Answers

Answer:

ok for this problem lets subtract 25 for 100 to get 75 so know we know we have to multiple 20 by 0.75 to get 15 dollars for the reduced price

$15 is the price if the idea now

PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate​

Answers

Answer:

1, -3.5

Step-by-step explanation:

Answer:(0.5,-3.5)

Step-by-step explanation:

(-2+3/2)/2, (-5-2)/2

0.5,-3.5

Which of the following are mathematical sentences? Check all that apply.
O A. 12
B. 2<4
O C. 10g
D. 8- d = 16
E. 6 + 4 = 10
F. 8-V

Answers

Answer:

A,D

Step-by-step explanation:

Answer:

Answers: A and E ✡

- - Why?

Well a mathematical sentence needs to have something to equal to.

In this case for a we have

=10 and for d =16.

Step-by-step explanation:

Find the missing segment

Answers

Answer:

45

Mark me as brainlist

ok

Put these numbers in order from greatest to least.

0.07,3/5, and 5/8

Answers

Answer:

From greatest to least: 5/8, 3/5, 0.07

Step-by-step explanation:

5/8 = 0.625

3/5 = 0.6

0.07 = 0.07

5/8, 3/5, 0.07 hope this helps :)

Which verbal expression shows 4 ÷ n?

Your answer:

n divided by 4


the quotient of 4 and n


the product of 4 and n


4 decreased by n

Answers

Answer:

'the quotient of 4 and n ' is the correct answer

b) The marked price of a bicycle is Rs. 2000. If the shopkeeper allows some discount and a customer bought it for Rs. 1921 including 13% VAT, how much amount was given as the dis
count?

Answers

Answer:

Rs. 300

Step-by-step explanation:

The bicycle marked price = Rs. 2000

The amount the customer bought the bike given that there was some discount allowed by the shopkeeper including VAT = Rs. 1921

The VAT applied = 13%

The amount given as the discount = Required

The VAT is applied to the selling price

Let d represent the discount amount, we have;

The selling price = 2000 - d

The amount paid as VAT = (2,000 - d) × 13% = (2,000 - d) × 0.13

The amount the customer bought it including VAT = The selling price + The amount paid as VAT

The amount the customer bought it including VAT = Rs. 1921

∴ 1921 = 2000 - d + (2,000 - d) × 0.13 = 2,260 - 1.13·d

1.13·d = 2,260 - 1,921 = 339

d = 339/1.13 = 300

The amount given as discount, d = Rs. 300

What are the domain, range, and asymptote of h(x)=2x+4

Answers

Step-by-step explanation:

Domain = x € the real Numbers

Range = y € the real Numbers

No asymptotes

What is the range of the relation? {(2, 1), (-4, 5), (1, 7), (3, -3), (-1, 2)}

Answers

Answer:

(1,5,7,-3,2)etc are the range of the relation.

ABCF AND EFGH ARE CONGRUENT PARALLELGRAMS. AD = 10cm, MC = 8cm, and the area of ABCD is 112cm^2. What is the number of centimeters in EN? Express your answer as a decimal to the nearest tenth

Answers

The image to the question is attached below.

Answer: The value of EN is 11.2 cm

Step-by-step explanation:

We are given:

The parallelograms ABCD and EFGH are congruent, which simply means

AB = EF

BC = FG

CD = GH   and

AD = EH

Area of ABCD = area of EFGH

Also, opposite sides of a parallelogram are equal. Thus,

AB = EF = CD = GH

BC = FG = AD = EH

It is given:

[tex]AD=10cm=FG\\\\\text{Area of ABCD}=112cm^2=\text{Area of EFGH}[/tex]

To calculate the area of a parallelogram, we use the equation:

[tex]Area=b\times h[/tex]

where, for parallelogram EFGH

b = base = FG = 10 cm

h = height = EN = ?

Area = [tex]112cm^2[/tex]

Plugging values in above equation, we get:

[tex]112cm^2=10cm\times EN\\\\EN=\frac{112cm^2}{10cm}=11.2cm[/tex]

Hence, the value of EN is 11.2 cm

Fill in the blank.

7.95x10^7 = [ ? ]x 10^6

Answers

Answer:

79.5

Step-by-step explanation:

10^7 = 10^6 * 10

then 10*7.95 = 79.5

A cylinder with 1/4 of a section removed has a radius of 4 cm for the base and a height of 10 cm.


Determine the approximate volume of the solid. Use 3.14 for pi. cm3

Answers

Answer:

Volume of the solid is 377 cm³.

Step-by-step explanation:

Volume of the cylinder = [tex]\pi r^{2}h[/tex]

Here, r = radius of the cylinder

h = Height of the cylinder

By substituting the values in the formula, (r = 4 cm and h = 10 cm)

Volume of the cylinder = [tex]\pi (4)^2(10)[/tex]

                                      = 160π

Since one fourth of the cylinder is removed,

Volume of the remaining cylinder = 160π - [tex]\frac{160\pi }{4}[/tex]

                                                        = 160π - 40π

                                                        = 120π

                                                        = 120(3.14)

                                                        = 376.8 cm³

                                                        ≈ 377 cm³

Volume of the solid is 377 cm³.

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