Question

find the volume of the sphere. use 3.14 for pi and round to the nearest tenth. remember to divide the diameter in half to get the radius. 16.8 ft a. 6,386.1 ft³ b. 2481.5 ft³ c. 19,851.6 ft³ d. 14,888.7 ft³

Explanation:

Step1: Find the radius

The diameter $d = 16.8$ ft, so the radius $r=\frac{d}{2}=\frac{16.8}{2}=8.4$ ft.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $\pi = 3.14$ and $r = 8.4$ into the formula:
$V=\frac{4}{3}\times3.14\times(8.4)^{3}$.
First, calculate $(8.4)^{3}=8.4\times8.4\times8.4 = 592.704$.
Then, $\frac{4}{3}\times3.14\times592.704=\frac{4\times3.14\times592.704}{3}$.
$4\times3.14\times592.704 = 4\times1861.09056=7444.36224$.
$\frac{7444.36224}{3}=2481.45408\approx2481.5$ $ft^{3}$.

Answer:

B. $2481.5$ $ft^{3}$