Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

incorrect your answer is incorrect. the radius, r, of a sphere is 4.8 m…

Question

incorrect
your answer is incorrect.
the radius, r, of a sphere is 4.8 m. calculate the sphere’s volume, v.
use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate computations.)
image of a sphere with radius r labeled
v = square m³

Explanation:

Step1: Recall sphere volume formula

$$V=\frac{4}{3}\pi R^3$$

Step2: Substitute given values

$$V=\frac{4}{3} \times 3.14 \times (4.8)^3$$

Step3: Calculate $4.8^3$

$$4.8^3 = 4.8 \times 4.8 \times 4.8 = 110.592$$

Step4: Compute intermediate product

$$\frac{4}{3} \times 3.14 \times 110.592 = \frac{4 \times 3.14 \times 110.592}{3} = \frac{1389.2352}{3} = 463.0784$$

Step5: Round to nearest tenth

$$463.0784 \approx 463.1$$

Answer:

$463.1$ $\text{m}^3$