Volume of Right Circular Cones

Find the volume of right circular cone whose radius is 11 inch and height of right circular cone is 5 inch?

The formula for finding the volume of Right Circular Cone is given by:
Volume of right circular cone = 1 / 3 * ⊼* r² * h;
Given, radius = 11 inch;
Height = 5 inch.
And the value of ⊼is 3.14;
Volume =?         
On putting these values in the given formula we get the volume of right circular cone.
Volume of right circular cone = 1 / 3 * ⊼* r² * h;
Volume = 1 / 3 * 3.14 * (11)² * 5;
Volume = 1 / 3 * 3.14 * 121 * 5;
Volume = 1 / 3 * 1899.7;
Volume = 633.23 inch³;
So the volume of right circular cone is 633.23 inch³.

Find the volume of right circular cone whose radius is 14 inch and height of right circular cone is 8 inch?

The formula for finding the volume of Right Circular Cone is given by:
Volume of right circular cone = 1 / 3 * ⊼* r² * h;
Given, radius = 14 inch;
Height = 8 inch.
And the value of ⊼is 3.14;
Volume =?
On putting these values in the given formula we get the volume of right circular cone.
Volume of right circular cone = 1 / 3 * ⊼* r² * h;
Volume = 1 / 3 * 3.14 * (14)² * 8;
Volume = 1 / 3 * 3.14 * 196 * 8;
Volume = 1 / 3 *4923.52;
Volume = 1641.17 inch³;
So the volume of right circular cone is 1641.17 inch³.

Find the height of right circular cone whose radius is 11 inch and volume of right circular cone is 150 inch³?

The formula for finding the volume of Right Circular Cone is given by:
Volume of right circular cone = 1 / 3 * ⊼* r² * h;
Given, radius = 11 inch;
Volume =150 inch³;
Height =?
And the value of ⊼is 3.14;
On putting these values in the given formula we get the volume of right circular cone.
Volume of right circular cone = 1 / 3 * ⊼* r² * h;
150 = 1 / 3 * 3.14 * (11)² * H;
150 = 1 / 3 * 3.14 * 121 * H;
150 = 126.64 * H;
H = 150 / 126.64;
H = 1.18 inch;
So the height of right circular cone is 1.18 inch.

Find the radius of right circular cone whose height is 10 inch and volume of right circular cone is 170 inch³?

The formula for finding the volume of Right Circular Cone is given by:
Volume of right circular cone = 1 / 3 * ⊼* r² * h;
Given, volume =170 inch³;
Height = 10 inch
And the value of ⊼is 3.14;
On putting these values in the given formula we get the volume of right circular cone.
Volume of right circular cone = 1 / 3 * ⊼* r² * h;
170 = 1 / 3 * 3.14 * r² * 10;
170 = 1 / 3 * 31.4 * r²;
170 = 10.46 * r²;
R² = 170 / 10.46;
r = √ 16.25 inch;
r = 4.03 inch;
So the radius of right circular cone is 4.03 inch.

Find the volume of right circular cone whose radius is 15 inch and height of right circular cone is 6 inch?

The formula for finding the volume of Right Circular Cone is given by:
Volume of right circular cone = 1 / 3 * ⊼* r² * h;
Given, radius = 15 inch;
Height = 6 inch.
And the value of ⊼is 3.14;
Volume =?
On putting these values in the given formula we get the volume of right circular cone.
Volume of right circular cone = 1 / 3 * ⊼* r² * h;
Volume = 1 / 3 * 3.14 * (15)² * 6;
Volume = 1 / 3 * 3.14 * 225 * 6;
Volume = 1 / 3 * 4239;
Volume = 1413 inch³;
So the volume of right circular cone is 1413 inch³.