Question

find the volume of the sphere. round your answer to the nearest tenth. 12 yd 6 the volume is about cubic yards.

Explanation:

Step1: Find the radius

The diameter \(d = 12\) yd. The radius \(r=\frac{d}{2}\), so \(r=\frac{12}{2}=6\) yd.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V = \frac{4}{3}\pi r^{3}\). Substitute \(r = 6\) into the formula:

$$
LATEXBLOCK0
$$

Step3: Calculate the numerical value

Take \(\pi\approx3.14\), then \(V=288\times3.14 = 904.32\approx904.3\) (rounded to the nearest tenth)

Answer:

\(904.3\)