Question

what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 20 mm cubic millimeters submit

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as 20 mm. The radius \( r \) is half of the diameter, so \( r=\frac{20}{2} = 10 \) mm.

Step2: Use the volume formula for a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \). Substitute \( \pi\approx3.14 \) and \( r = 10 \) into the formula.
First, calculate \( r^{3}=10^{3}=1000 \).
Then, \( \frac{4}{3}\times3.14\times1000=\frac{4\times3.14\times1000}{3}=\frac{12560}{3}\approx4186.67 \) (rounded to the nearest hundredth).

Answer:

4186.67