Question

find the volume of this sphere. use 3.14 for π. 10 m volume of a sphere v = (4/3)πr³ v = ? m³ round your answer to the nearest tenth.

Explanation:

Step1: Identify sphere radius

The given radius $r = 10$ m

Step2: Substitute into volume formula

$$V = \frac{4}{3}\pi r^3$$
Substitute $r=10$ and $\pi=3.14$:
$$V = \frac{4}{3} \times 3.14 \times 10^3$$

Step3: Calculate step-by-step

First compute $10^3 = 1000$, then:
$$V = \frac{4}{3} \times 3.14 \times 1000 = \frac{12560}{3} \approx 4186.666...$$

Step4: Round to nearest tenth

Round $4186.666...$ to 1 decimal place.

Answer:

$4186.7$ m³