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:

[tex]1047.2 in^3[/tex]

Step-by-step 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:

[tex]V = \frac{4}{3} \pi r^3[/tex]

where r = radius

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

[tex]V = \frac{4}{3} * \pi * 5^3\\\\V = 523.6 in^3[/tex]

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

V = 523.6 + 523.6 =[tex]1047.2 in^3[/tex]

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