Question

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

a. 6 in3
b. 24 in3
c. 36 in3
d. 48 in3

Answer 1

heyyyy its @SolomonZelman

Answer 2

Volume of a cone = 1/3(pi)(r^2)h
Volume of a cylinder with the same dimension is pi(r^2)h

Take the ratio of the two volumes: cylinder volume / cone volume first. What do you get?

Answer 3

how do i get the height

Answer 4

would it be 36? @ranga

Answer 5

Yes, 36.

When you take the ratio the height will cancel out.

cylinder volume / cone volume = pi(r^2)h / 1/3(pi)(r^2)h = 3

So the cylinder will have three times the volume of the cone. So 3 x 12 = 36 cubic inches.