Question

The height of a cylinder is equal to the diameter of the base. What expression represents the volume of the cylinder, in cubic units?
4πx2
2πx3
πx2 + 2x
2 + πx3

Answer 1

the answer is 2 piex^3

Answer 2

The volume of the cylinder will be 2π$R^{3}$

 

As shown in figure, R is the base radius of the cylinder.

H is the height of the cylinder.

Given: H = diameter of the base of cylinder.

Now, diameter of the base = 2R

So, H = 2R

Volume of cylinder = π×$R^{2}$×H

                                  = π×$R^{2}$×(2R)

                                  = 2 π $R^{3}$ cubic units.