SOLUTION: A CYLINDER AND A CONE HAVE THE SAME DIAMETER AND THE SAME HEIGHT. tHE VOLUME OF THE CONE IS 36.5 CM. WHAT IS THE VOLUME OF THE CYLINDER?

Question 710183: A CYLINDER AND A CONE HAVE THE SAME DIAMETER AND THE SAME HEIGHT. tHE VOLUME OF THE CONE IS 36.5 CM. WHAT IS THE VOLUME OF THE CYLINDER?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The volume of the cone, with the same height and diameter as the cylinder, is exactly one third of the volume of the cylinder.

So

(Volume of Cone) = (1/3)*(Volume of Cylinder)

36.5 = (1/3)*(Volume of Cylinder)

36.5*3 = Volume of Cylinder

Volume of Cylinder = 109.5

RELATED QUESTIONS
A cone and cylinder have the same height and diameter. If the volume of the cylinder is... (answered by ikleyn)

micheal measure a solid cylinder and a solid cone and finds that the solids have the same (answered by ankor@dixie-net.com)

1.An Ice Cream cone has a base diameter of 8 cm and a hright of 13 cm. What is its... (answered by Alan3354)

If a cone and a cylinder have the same height AND diameter, which one has the larger... (answered by london maths tutor)

A cylinder and the cone have the same diameter of 10 inches. The height of the cone is... (answered by josgarithmetic)

Wood is removed from a wooden right circular cylinder of diameter 10cm and height 15 cm... (answered by addingup)

Suppose a town wants to design two landfills shaped as a cone and a cylinder. The base... (answered by edjones)

The figure below shows a cylinder of diameter 12 cm and height 15 cm. A hole in the shape (answered by josgarithmetic)

What is the height of a cylinder that has the same volume and radius as a sphere of a... (answered by lwsshak3)