A sphere fits inside a cube with the sphere's diameter equal to the width of the cube, 20 centimeters. What is the volume of the

Question

zimovet [89]

3 years ago

13

A sphere fits inside a cube with the sphere's diameter equal to the width of the cube, 20 centimeters. What is the volume of the

cube not filled by the sphere? Round to the nearest cm³
A) 3813cm³
B) 3225cm³
C) 4079cm³
D) 3546cm³

Mathematics

1 answer:

konstantin123 [22] · Answer 1 · 2022-08-29T22:33:45+03:00

Answer is 3813cm^3

First, find the volume of the sphere and cube.

Volume of sphere:
4/3 x pi x radius^3
4/3 x pi x 10^3
Sphere volume = 4188.790205

Volume of cube:
Length x width x height
20 x 20 x 20
Cube volume = 8000

Afterwards, subtract the volume of the cube by the volume of the sphere.

8000 - 4188.790205 = 3811.209....