Question

Using 70 POINTS NEED YOUR HELP NOT SPAMMERS. To make an ice-cream cone, employees at an ice-cream shop completely fill the cone and then add one scoop of ice cream on top. The cone has a height of 6 inches and a diameter of 2 inches.

To the nearest cubic inch, how much ice cream is in the cone before the scoop is added on the top?


6 in³

19 ​in³​

25 ​in³​

75 ​in³​


also
A candy machine contains 120 spherical candies. Each candy is solid and has a diameter of 0.25 inches.

What is the total volume of the candies in the machine?

Select from the drop-down menu to correctly complete the statement.

The total volume of the candies in the machine is about

Answer 1

This should definitely help for question 1 :)

What is the volume of a ball if its diameter is 6 inches? Leave your answer in terms of π.

A)V = 12 π cubic inches

B)V = 36 π cubic inches

C)V = 288 π cubic inches

D)V = 27.75 π cubic inches

Explanation:The volume of the ball above is V = 36 π cubic inches. Use the formula V = 4/3π 3. Just remember to cut the diameter in half to get the radius.

Explanation:

Answer 2

Solution for Q1:

Given is the height of ice-cream cone, h = 6 inches.

Given is the diameter of ice-cream cone, d = 2 inches. Then radius of cone would be half of diameter, r = d/2 = 1 inch.

The ice-cream without scoop would be in the shape of cone only. So we need to find the volume of cone.

We know the formula for volume of cone is given as follows :-

`Volume = (1)/(3) \pi r^(2) h \\\\Volume = (1)/(3) \pi (1)^(2) (6) \\\\Volume = (6\pi)/(3) = 2\pi = 2(3.14) = 6.28 \;cubic \;inches.`

So the volume is 6.28 ≈ 6 in³.

Hence, option A is correct i.e. 6 cubic inches.

Solution for Q2:

A candy is in shape of sphere with diameter, d = 0.25 inches.

Then radius of sphere, r = d/2 = 0.250/2 = 0.125 inches.

The formula for volume of sphere is given as follows :-

`Volume = (4)/(3) \pi r^(3) \\\\Volume = (4)/(3) \pi (0.125)^(3) \\\\Volume = 0.00818123 \;cubic \;inches.`

So, volume of one candy = 0.00818123 cubic inches.

There are total 120 candies in the machine.

Total volume of all 120 candies = 120 x 0.00818123 = 0.981748 cubic inches.

Hence, the total volume of all candies in the machine is about 0.982 in³.