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# Volume of Right Circular Cones

A Right Circular Cone is a type of cone in which the axis of a right circular cone joins the vertex to the midpoint of a circular base. The volume of a right circular cone is calculated by using the following formula:
The volume of right circular cone = 1/3 âŠĽ r2h,
Where, ‘r’ is the radius of a right circular cone,
‘H’ is the height of a right circular cone,

Now some of the steps for finding the volume right circular cone are;
Step1: First find the radius of a right circular cone.

Step2: After that find the height of a right circular cone.

Step 3: Volume of right circular cone is found by using radius and height of a right circular cone.

Step 4: By putting all the values of a right circular cone we get the volume of a right circular cone.

Let us assume that the radius of right circular cone is 18 inch and the height of a right circular cone is 26 inch then, what is the volume of right circular cone.
The volume of right circular cone = 1/3 âŠĽ r2h.
In the first Step we see the radius of a right circular cone.
Given, the radius of Right Circular Cylinder is 18 inch.
In Step 2 we find the height of a right circular cone.
Here height is 26 inch.
The volume of right circular cone = 1/3 âŠĽ r2h.
The volume of right circular cone = 1/3 âŠĽ * (18)2 * 26,
The volume of right circular cone = 1/3  âŠĽ * 324 * 26,
The volume of right circular cone = 1/3 âŠĽ * 8424,

We know that the value of ‘âŠĽ’ is 3.14,
Put the value of âŠĽ in the formula:
The volume of right circular cone = 1/3 * 3.14 * 8424,
The volume of right circular cone = 1/3 * 26451.36,
The volume of right circular cone = 8817.12 inch3.
So the volume of right circular cone is 8817.12 inch3.

## 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 * âŠĽ* r2 * h;
Given, radius = 11 inch;
Height = 5 inch.
And the value of âŠĽis 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 * âŠĽ* 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 * âŠĽ* r2 * h;
Given, radius = 14 inch;
Height = 8 inch.
And the value of âŠĽis 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 * âŠĽ* 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 * âŠĽ* r2 * h;
Given, radius = 11 inch;
Volume =150 inch3;
Height =?
And the value of âŠĽis 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 * âŠĽ* 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 * âŠĽ* r2 * h;
Given, volume =170 inch3;
Height = 10 inch
And the value of âŠĽis 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 * âŠĽ* 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 * âŠĽ* r2 * h;
Given, radius = 15 inch;
Height = 6 inch.
And the value of âŠĽis 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 * âŠĽ* 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.