Question

the diameter, d, of a sphere is 11.2 cm. calculate the spheres volume, v. use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate computations.)

Explanation:

Step1: Find the radius

The radius $r$ of a sphere is half of the diameter. Given $D = 11.2$ cm, so $r=\frac{D}{2}=\frac{11.2}{2}=5.6$ cm.

Step2: Use the volume formula

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 5.6$ cm and $\pi=3.14$ into the formula:
$V=\frac{4}{3}\times3.14\times(5.6)^{3}$.
First, calculate $(5.6)^{3}=5.6\times5.6\times5.6 = 175.616$.
Then, $V=\frac{4}{3}\times3.14\times175.616$.
$\frac{4}{3}\times3.14\times175.616=\frac{4\times3.14\times175.616}{3}$.
$4\times3.14\times175.616 = 4\times551.43324 = 2205.73296$.
$V=\frac{2205.73296}{3}=735.24432$.

Step3: Round the result

Round $735.24432$ to the nearest tenth. The result is $735.2$.

Answer:

$735.2$