Question

a cylinder and a cone have the same height and same radius. the volume of cone cylinder is 24 cm cube. what will be the volume of cone.

Answer 1

Volume of cone = 1/3 * pi* r^2 h

=) V of cone = 1/3 * V of cylinder

=) V of cone = 1/3 * 24cm^3

=) V of cone = 8cm^3.

Hope it's helpful to u.

Answer 2

Answer:

The volume of the cone is $\bold{8 \mathrm{cm}^{3}}$

Step-by-step explanation:

In the given problem the cylinder and cone has same height and same radius

We know that volume of cone and volume of cylinder are related to each other if it has the same height and same radius

From the above given statement we have volume of cylinder = 24 cm cube

We know that

Volume of cone = 1/3 x volume of cylinder

= 1/3 x 24

[In the above step we are just substituting the given value of volume of the cylinder]

=24/3

[By cancellation we get the solution]

$=8 \mathrm{cm}^{3}$

[If the heights of the cone and cylinder are same, then the volume of the cylinder is 3 times as much as the volume of the cone]