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Harvey bought two piñata‘s, one shaped like a soccer ball and one shaped like a basketball. Both piñata‘s are spheres with a radius of 5 inches. What is the total volume of both piñata‘s? Round to the nearest 10th.

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Answer:


1047.2 in^3

Explanation:

Harvey bought two piñata‘s, one shaped like a soccer ball and one shaped like a basketball and they both have a radius of 5 inches.

We have to find the volume of each of the pinata's and then add them together to get to the total volume.

The volume of a sphere is:


V = (4)/(3) \pi r^3

where r = radius

The volume of each of the pinata's is therefore:


V = (4)/(3) * \pi * 5^3\\\\V = 523.6 in^3

Therefore, the total volume of both pinata's is:

V = 523.6 + 523.6 =
1047.2 in^3

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