Question

The volume of a cylinder is 20 ft. Which expression represents the volume of a cone with the same base and height

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

Step-by-step explanation:

We have,

Volume of cylinder is 20 ft, $V_1=20\ ft$

It is required to find the expression that represents the volume of a cone with the same base and height  as the cylinder.

Let $V_2$ is volume of cone. The formula of the volume of cylinder and the cone is given by :

$V_1=\pi r^2 h\\\\V_2=\dfrac{1}{3}\pi r^2h$

Dividing the above formulas as :

$\dfrac{V_2}{V_1}=\dfrac{\dfrac{1}{3}\pi r^2h}{\pi r^2 h}\\\\\dfrac{V_2}{V_1}=\dfrac{1}{3}$

$V_2=\dfrac{V_1}{3}$    

$V_2=\dfrac{20}{3}\ ft$

So, the volume of a cone is $\dfrac{20}{3}\ ft$.