Question

the radius of the sphere is 10 units. what is the approximate volume of the sphere? use π = 3.14 and round to the nearest whole cubic unit. 42 cubic units 126 cubic units 4187 cubic units 73,385 cubic units

Explanation:

Step1: Recall sphere volume formula

The volume $V$ of a sphere is given by $V = \frac{4}{3}\pi r^3$, where $r$ is the radius.

Step2: Substitute given values

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

Step3: Calculate step-by-step

First compute $10^3 = 1000$, then:
$$V = \frac{4}{3} \times 3.14 \times 1000 = \frac{4}{3} \times 3140$$
$$V = \frac{12560}{3} \approx 4186.67$$

Step4: Round to nearest whole number

Round $4186.67$ to the nearest whole unit: $4187$

Answer:

C. 4187 cubic units