Question

what is the volume of this sphere? round your answer to the nearest hundredth. 28 cm cubic centimeters submit

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as 28 cm. The radius \( r \) is half of the diameter, so \( r=\frac{28}{2} = 14 \) cm.

Step2: Use the volume formula for a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \). Substitute \( r = 14 \) into the formula:
\( V=\frac{4}{3}\pi(14)^{3} \)
First, calculate \( 14^{3}=14\times14\times14 = 2744 \).
Then, \( V=\frac{4}{3}\pi\times2744=\frac{10976}{3}\pi \)
Using \( \pi\approx3.14159 \), we get \( V\approx\frac{10976}{3}\times3.14159 \)
\( \frac{10976\times3.14159}{3}\approx\frac{34464.5984}{3}\approx11488.1995 \)
Rounding to the nearest hundredth, we get \( V\approx11488.20 \)

Answer:

11488.20