SOLUTION: A right cone and a right cylinder have the same volume and same radii how many times taller is the cone than the cylinder?

Algebra.Com
Question 450765: A right cone and a right cylinder have the same volume and same radii how many times taller is the cone than the cylinder?
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
Let the common volume and radius be equal to V and r, and let the heights of the cone and cylinder be and respectively. Using the area for a cone,




And for a cylinder,



These two are equal, so







Hence, the height of the cone is three times as much as the height of the cylinder.

RELATED QUESTIONS

A cylinder and a right cone have the same height and radius. The volume of the cylinder... (answered by Alan3354)
A CYLINDER AND A CONE HAVE THE SAME DIAMETER AND THE SAME HEIGHT. tHE VOLUME OF THE CONE... (answered by jim_thompson5910)
a cone and a cylinder have the same dimensions. if the volume of the cylinder is 15 cubic (answered by Alan3354)
A cone and a right cylinder have the same base and height. How are their relative volumes (answered by Alan3354)
a cone and a cylinder have the same diameters. How many times greater must the height of... (answered by richard1234)
A cone and cylinder have the same height and diameter. If the volume of the cylinder is... (answered by ikleyn)
A cone and a xylinder have the same volume and the same base area.the height of the cone... (answered by josgarithmetic)
A cone and a cylinder have the same radius and the same volume. Find the ratio of the... (answered by Fombitz)
a standard 8/1/2x11. sheet of paper is rolled along its short side to form a cylinder as... (answered by oberobic)