Question

the radius, r, of a sphere is 6.9 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 $R=6.9$ cm and $\pi=3.14$:
$V = \frac{4}{3} \times 3.14 \times (6.9)^3$
First calculate $(6.9)^3 = 6.9 \times 6.9 \times 6.9 = 328.509$

Step3: Compute intermediate product

$V = \frac{4}{3} \times 3.14 \times 328.509$
Calculate $3.14 \times 328.509 = 1031.51826$

Step4: Final volume calculation

$V = \frac{4 \times 1031.51826}{3} = \frac{4126.07304}{3} = 1375.35768$

Step5: Round to nearest tenth

Round $1375.35768$ to the nearest tenth: $1375.4$

Answer:

$1375.4$ cm³