Question

a soccer ball has a radius of 15 centimeters. how much air is needed to fully inflate the soccer ball? use the keypad to type your answer in the box provided. use 3.14 for the value of π and round your answer to the nearest whole number. the volume of the soccer ball is cubic centimeters.

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \), where \( r \) is the radius of the sphere.

Step2: Substitute the given values into the formula

Given \( r = 15\) cm and \( \pi=3.14\).
First, calculate \( r^{3}\): \(r^{3}=15\times15\times15 = 3375\).
Then, calculate \(\frac{4}{3}\times\pi\times r^{3}\):
\(V=\frac{4}{3}\times3.14\times3375\).
\(\frac{4}{3}\times3375=4\times1125 = 4500\).
\(V = 4500\times3.14\).
\(V=14130\).

Answer:

\(14130\)