Question

find the volume of the sphere. use 3.14 for pi and round to the nearest tenth.
6 in
a. 904.3 in³
b. 678.2 in³
c. 75.4 in³
d. 56.5 in³

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$, where $r$ is the radius.

Step2: Identify radius value

The radius $r = 6$ in.

Step3: Substitute values

Substitute $\pi=3.14$ and $r = 6$ into the formula: $V=\frac{4}{3}\times3.14\times6^{3}$.
First, calculate $6^{3}=6\times6\times6 = 216$.
Then, $V=\frac{4}{3}\times3.14\times216$.
$\frac{4}{3}\times216 = 4\times72=288$.
So, $V = 3.14\times288=904.32$.

Step4: Round the result

Round $904.32$ to the nearest tenth. The result is $904.3$ in³.

Answer:

A. $904.3$ in³