Question

1. if a tennis ball has a diameter of 14, what is the volume of the tennis ball? use the pi button on your calculator. a) 345.8 b) 205.1 c) 523.6 d) 1436.8

Explanation:

Step1: Find the radius

The radius $r$ of a sphere is half of the diameter $d$. Given $d = 14$, so $r=\frac{d}{2}=\frac{14}{2}=7$.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 7$ into the formula: $V=\frac{4}{3}\pi\times7^{3}=\frac{4}{3}\pi\times343=\frac{1372\pi}{3}$.

Step3: Calculate the volume

Using the $\pi$ - button on the calculator, $V=\frac{1372\pi}{3}\approx\frac{1372\times3.14159}{3}\approx1436.8$.

Answer:

d) 1436.8