Question

The volume of a cylinder is 40 f3. Which expression represents the volume of a cone with the same base and height as

Answer 1

Answer:

Option (3)

Step-by-step explanation:

Volume of the cylinder = 40 ft³

Since, volume of a cylinder is given by the expression,

V = $\pi r^{2}h$

Here, r = radius of the circular base

h = Height of the cylinder

40 = $\pi r^{2}h$

$h=\frac{40}{\pi r^2}$ ------(1)

Volume of a cone = $\frac{1}{3}\pi r^{2} h$

By substituting the value of 'h' from equation (1)

Volume of the cone = $\frac{1}{3}\pi r^{2}(\frac{40}{\pi r^{2} } )$

                                 = $\frac{1}{3}(40)$ ft³

Therefore, Option (3) will be the correct option.