Question

If a right circular cone has radius 4 cm and slant height 5 cm then what it its volume?

Answer 1

hope u get the solution

Answer 2

Given:

A right circular cone has a radius of 4cm and a slant height of 5cm.

To Find:

The volume of the cone.

Solution:

The given problem can be solved using the formulae of the right circular cone.

1. Consider a right circular cone of slant height s, radius r, and height h.

• The volume of the right circular cone is =$\frac{1}{3} * 3.14*r^2*h$.
• The relation between r, h, and s is s = √(r² + h²).

2. Using the formulae mentioned above, the volume of the right circular cone can be calculated.

=> 5 = √(3² + h²),

=> 25 = 16 +  h²,

=>  h² = 25 - 16,

=>  h² = 9,

=> h = 3cm.

Hence, the height of the cone is 4cm.

3, Volume of the right circular cone = (1/3) x π x  4² x 3,

=> Volume of the right circular cone = 50.24 cm^3.

Therefore, the volume of the right circular cone is 50.24 cm^3.