Question

what is the volume of this sphere? round your answer to the nearest hundredth. 13.2 cm cubic centimeters submit

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as \( 13.2 \) cm. The radius \( r \) is half of the diameter, so \( r=\frac{13.2}{2} = 6.6 \) 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 \( r = 6.6 \) into the formula:
\[

$$\begin{align*} V&=\frac{4}{3}\pi(6.6)^{3}\\ &=\frac{4}{3}\pi\times287.496\\ &=\frac{1149.984}{3}\pi\\ &\approx383.328\times3.14159\\ &\approx1204.63 \end{align*}$$

\]

Answer:

\( 1204.63 \)