College

What is the volume of a sphere with a radius of 36.6 cm, rounded to the nearest tenth of a cubic centimeter?

Answer :

Final answer:

The volume of a sphere with a radius of 36.6 cm is approximately 204,203.3 cm³, which is calculated using the formula V = (4/3)πr³ and rounding it to the nearest tenth.

Explanation:

To calculate the volume of a sphere with a given radius, we use the formula V = (4/3)

. Plugging the radius of 36.6 cm into this formula, we get:

V = (4/3)
(36.6 cm)
= (4/3)
(36.6 cm)
(36.6 cm)(36.6 cm)

When you calculate this, it equals a volume of approximately 204,203.3 cm, rounded to the nearest tenth of a cubic centimeter.