Question

find the volume of right circular cone whose diameter is 6 cm and slant height is 5 cm​

Answer 1

Answer:

volume of a cone = 1/3 πr²h

=1/3×22/7×3×3×5

=330/7

Answer 2

Answer:

The volume of the cone is 37.71 cm³

Step-by-step explanation:

Given:

The slant height of the cone = 5 cm

The diameter of the cone = 6 cm

We know that diameter = 2 * radius

=> Radius of the cone = 6 / 2 = 3 cm

We know that l² = r² + h²

=> 5² = 3² + h²

=> 25 = 9 + h²

=> 25 - 9 = h²

=> 16 = h²

=> h = ± 4

Since height cannot be negative,

=> h = 4 cm

We know that volume of the cone = $\frac{1}{3}$ πr²h

where r is the radius of the cone

and h is the height of the cone.

Therefore, volume =  $\frac{1}{3}$ * $\frac{22}{7}$ * 3² * 4

                               = 37.71 cm³

Therefore, the volume of the cone is 37.71 cm³