A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volume of the box to the volume of the sphere?

A.) 6 : pi

B.) 3 : 4pi

C.) 2 : 3pi

D.) 1 : 12pi

Question

Kyan Haynes

Mathematics

6 December, 22:46

A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volume of the box to the volume of the sphere?

A.) 6 : pi

B.) 3 : 4pi

C.) 2 : 3pi

D.) 1 : 12pi

+3

Answers (1)

Know the Answer?

Chaim · Answer 1

Volume of box with side length of 5 = 5^3 = 125

Volume of sphere = (4/3) * pi*5^3 = (4/3) pi * 125

Ratio = 125 / (4pi/3) * 125 = 1 / (4pi/3) = 3 / (4pi)

Answer: B

A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volume of the box to the volume of the sphere?A.) 6 : piB.) 3 : 4piC.) 2 : 3piD.) 1 : 12pi

A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volume of the box to the volume of the sphere?

A.) 6 : pi

B.) 3 : 4pi

C.) 2 : 3pi

D.) 1 : 12pi