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tensa zangetsu [6.8K]
4 years ago
8

A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the

nearest cubic inch?
Mathematics
1 answer:
nika2105 [10]4 years ago
4 0

Answer:

0.52 cubic inches

Step-by-step explanation:

Given: circumference of a basketball is 31.4 inches.

\pi =3.14

To find: basketball's volume to the nearest cubic inches

Solution:

circumference of a basketball (sphere) = 6.28(radius)

Also, circumference of a basketball = 31.4 inches.

So, 6.28(radius) = 3.14

radius = \frac{3.14}{6.28}=\frac{1}{2} inch

Volume of the basketball (sphere) = \frac{4}{3}(\pi  )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches

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