Question

the radius, r, of a sphere is 7.2 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.) v = □ cm³

Explanation:

Step1: Recall sphere volume formula

The formula for the volume of a sphere is $V = \frac{4}{3}\pi R^3$.

Step2: Substitute given values

Substitute $R=7.2$ cm and $\pi=3.14$:
$V = \frac{4}{3} \times 3.14 \times (7.2)^3$

Step3: Calculate $7.2^3$

$7.2^3 = 7.2 \times 7.2 \times 7.2 = 373.248$

Step4: Compute intermediate product

$\frac{4}{3} \times 3.14 = 4.18666...$
$4.18666... \times 373.248 = 1563.458304$

Step5: Round to nearest tenth

Round $1563.458304$ to the nearest tenth.

Answer:

$1563.5$ cm³