Question

1. a beach ball is inflated to have a radius of 10 cm. what is its volume? use π ≈ 3.14.

a. 1,000 cm³
b. 1,880 cm³
c. 2,000 cm³
d. 4,186.67 cm³

Explanation:

Step1: Recall the volume formula for a sphere

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

Step2: Substitute the given radius into the formula

Given \(r = 10\space cm\) and \(\pi\approx3.14\), we substitute these values into the formula:
\(V=\frac{4}{3}\times3.14\times10^{3}\)
First, calculate \(10^{3}=1000\). Then the expression becomes \(V=\frac{4}{3}\times3.14\times1000\).
\(V=\frac{4\times3.14\times1000}{3}\)
\(4\times3.14 = 12.56\), so \(V=\frac{12.56\times1000}{3}=\frac{12560}{3}\approx4186.67\space cm^{3}\)

Answer:

d. \(4,186.67\space cm^{3}\)