Question

what is the volume of this sphere? round your answer to the nearest hundredth. 10.8 yd blank cubic yards

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as \( 10.8 \) yd. The radius \( r \) is half of the diameter, so \( r=\frac{10.8}{2} = 5.4 \) yd.

Step2: Use the formula for the volume of a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \). Substitute \( r = 5.4 \) into the formula:
\[

$$\begin{align*} V&=\frac{4}{3}\pi(5.4)^{3}\\ &=\frac{4}{3}\pi\times157.464\\ &= 4\times52.488\times\pi\\ &=209.952\times\pi\\ &\approx209.952\times3.1415926535\\ &\approx660.52 \end{align*}$$

\]

Answer:

\( 660.52 \)