Question

the diameter, d, of a sphere is 8.6 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.) v = cm³

Explanation:

Step1: Find radius from diameter

The radius $r$ is half the diameter.
$r = \frac{D}{2} = \frac{8.6}{2} = 4.3$ cm

Step2: Recall sphere volume formula

The formula for sphere volume is $V = \frac{4}{3}\pi r^3$.

Step3: Substitute values into formula

Use $\pi=3.14$ and $r=4.3$ cm.
$V = \frac{4}{3} \times 3.14 \times (4.3)^3$
First calculate $(4.3)^3 = 4.3 \times 4.3 \times 4.3 = 79.507$
Then compute $\frac{4}{3} \times 3.14 = 4.18666...$
Multiply: $V = 4.18666... \times 79.507 \approx 332.88$

Step4: Round to nearest tenth

Round 332.88 to one decimal place.
$V \approx 332.9$

Answer:

$332.9$ cm³