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24 votes
24 votes
Polly made a pinata for her sister's birthday party and wants to fill it with candy. If

the pinata is shaped like a sphere and has a diameter of 14 inches, how many cubic
inches of candy does Polly need? Round your answer to the nearest tenth.
Polly needs
cubic inches of candy does polly need?

User Razenha
by
2.3k points

1 Answer

22 votes
22 votes

Answer:

The volume of candy that is needed by Polly is 1,437.3 cubic inches

Explanation:

What we have to do here is to find the volume of the sphere with a diameter of 14 inches

If the diameter is 14 inches, then the radius is 14/2 = 7 inches

This is because the radius is half the measure of the diameter

To find the volume of the sphere, we use the formula below;

Volume of sphere

= 4/3 * pi * r^3

pi = 22/7

r = 7 inches

Volume is;

4/3 * 22/7 * 7^3

= 4/3 * 22 * 7^2 = 1437.3 cubic inches

User Matt Lowden
by
3.0k points