Give the dimensions of a cone and a cylinder that have the same volume. Begin by writing the two formulas. Notice the similarities in the two formulas. Give a radius and height for each figure to show that the two solids have the same volume.

Question

saifoo.khan · Answer

What's the formula for the volume of come and cylinder?

anonymous · Answer

the volume of a cone is 1/3 pie r^2 h the volume of a cylander is pie r^2 h.

saifoo.khan · Answer

Since the question asks for their volumes to be SAME. Equate them.

anonymous · Answer

i dont get it...

saifoo.khan · Answer

In the first line of the question..

anonymous · Answer

could the volume of the cone be 9 & the cylinders would be 27?

saifoo.khan · Answer

If you equation both the formulas, you'll come to know.

jfraser · Answer

the volumes of the two shapes must be EQUAL. the problem says so. So take the two formulas and set them equal to each other, as @saifoo.khan suggests$$\frac{1}{3}*\pi*r_{cone}^3 *h_{cone}=  \pi*r_{cyl}^2*h_{cyl}$$