Question

A sphere with a radius of 5 cm is enlarged by a scale factor of 2. What is the approximate volume of the new sphere in cubic inches?

Answer 1

Answer:

255.61 inch³

Step-by-step explanation:

Volume of sphere is given by

V = $\frac{4}{3}$πr³

Given that the original sphere had a radius of 5 cm, and that this is enlarged by a scale factor of 2, the new radius is

r = 5 cm x 2 = 10 cm

since 1 cm = 0.3937 inches,  (need to convert to inches)

10 cm = 3.937 inches

hence r = 3.937 inches

V = $\frac{4}{3}$ x π x 3.937³

= 255.61 inch³