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# Math Examples of Right Circular Cones

• ## Find the lateral surface area of right circular cone whose radius is 15 inch and height of right circular cone is 17 inch?

The formula for finding the lateral surface area of Right Circular Cone is given by:
LSA of a right circular cone = âŠĽr √ r2 + h2;
Height = 17 inch.
And the value of âŠĽis 3.14;
LSA =?
On putting these values in the given formula we get the volume of right circular cone.
LSA of a right circular cone = âŠĽr √ r2 + h2;
LSA = 3.14 * 15 √ (15)2 + (17)2;
LSA = 3.14 * 15 √ 225 + 289;
LSA = 47.1 * √ 514;
LSA = 47.1 * 22.67;
LSA = 1067.83 inch2;
So the volume of right circular cone is 1067.83 inch2.

## Find the lateral surface area of right circular cone whose radius is 4.4 inch and height of right circular cone is 7.7 inch?

The formula for finding the lateral surface area of Right Circular Cone is given by:
LSA of a right circular cone = âŠĽr √ r2 + h2;
Height = 7.7 inch.
And the value of âŠĽis 3.14;
LSA =?
On putting these values in the given formula we get the volume of right circular cone.
LSA of a right circular cone = âŠĽr √ r2 + h2;
LSA = 3.14 * 4.4 √ (4.4)2 + (7.7)2;
LSA = 3.14 * 4.4 √ 19.36 + 59.29;
LSA = 13.81 * √78.65;
LSA = 13.81 * 8.86;
LSA = 122.47 inch2;
So the volume of right circular cone is 122.47 inch2.

## Find the lateral surface area of right circular cone whose radius is 10 inch and height of right circular cone is 7 inch?

The formula for finding the lateral surface area of Right Circular Cone is given by:
LSA of a right circular cone = âŠĽr √ r2 + h2;
Height = 7 inch.
And the value of âŠĽis 3.14;
LSA =?
On putting these values in the given formula we get the volume of right circular cone.
LSA of a right circular cone = âŠĽr √ r2 + h2;
LSA = 3.14 * 10 √ (10)2 + (7)2;
LSA = 3.14 * 10 √ 100 + 49;
LSA = 31.4 * √ 149;
LSA = 31.4 * 12.20;
LSA = 383.28 inch2;
So the volume of right circular cone is 383.28 inch2.

## Find the lateral surface area of right circular cone whose radius is 4 inch and height of right circular cone is 6 inch?

The formula for finding the lateral surface area of Right Circular Cone is given by:
LSA of a right circular cone = âŠĽr √ r2 + h2;
Height = 6 inch.
And the value of âŠĽis 3.14;
LSA =?
On putting these values in the given formula we get the volume of right circular cone.
LSA of a right circular cone = âŠĽr √ r2 + h2;
LSA = 3.14 * 4 √ (4)2 + (6)2;
LSA = 3.14 * 4 √ 16 + 36;
LSA = 12.56 * √ 52;
LSA = 12.56 * 7.21;
LSA = 90.55 inch2;
So the volume of right circular cone is 90.55 inch2.

## Find the lateral surface area of right circular cone whose radius is 8 inch and height of right circular cone is 2 inch?

The formula for finding the lateral surface area of Right Circular Cone is given by:
LSA of a right circular cone = âŠĽr √ r2 + h2;
Here ‘r’ is the radius of right circular cone and ‘h’ is the height of right circular cone.
Height = 2 inch.
And we know that the value of âŠĽis 3.14;
LSA =?
On putting these values in the given formula we get the volume of right circular cone.
LSA of a right circular cone = âŠĽr √ r2 + h2;
LSA = 3.14 * 8 √ (8)2 + (2)2;
LSA = 3.14 * 8 √ 64 + 4;
LSA = 25.12 * √ 68;
LSA = 25.12 * 8.24;
LSA = 207.14 inch2;
So the volume of right circular cone is 207.14 inch2.

## Find the total surface area of right circular cone whose radius is 11 inch and height of right circular cone is 18 inch?

The formula for finding the total surface area of Right Circular Cone is given by:
TSA of a right circular cone = âŠĽr (r + √ r2 + h2);
Here ‘r’ is the radius of right circular cone and ‘h’ is the height of right circular cone.
Height = 18 inch.
And we know that the value of âŠĽis 3.14;
TSA =?
On putting these values in the given formula we get the TSA of right circular cone.
TSA of a right circular cone = âŠĽr (r + √ r2 + h2);
TSA = 3.14 * 11 (11 + √ (11)2 + (18)2;
TSA = 3.14 * 11 (11 + √ 121 + 324;
TSA = 3.14 * 11(11 + √ 445;
TSA = 3.14 * 11 (11 + 21.09);
TSA = 3.14 * 352.99;
TSA = 1108.38;
So the total surface area of right circular cone is 1108.38 inch2.

## Find the total surface area of right circular cone whose radius is 4 inch and height of right circular cone is 5.2 inch?

The formula for finding the total surface area of Right Circular Cone is given by:
TSA of a right circular cone = âŠĽr (r + √ r2 + h2);
Here ‘r’ is the radius of right circular cone and ‘h’ is the height of right circular cone.
Height = 5.2 inch.
And we know that the value of âŠĽis 3.14;
TSA =?
On putting these values in the given formula we get the TSA of right circular cone.
TSA of a right circular cone = âŠĽr (r + √ r2 + h2);
TSA = 3.14 * 4 (4 + √ (4)2 + (5.2)2;
TSA = 3.14 * 4 (4 + √ 16 + 27.04;
TSA = 3.14 * 4 (4 + √ 43.04;
TSA = 3.14 * 4 (4 + 6.56);
TSA = 3.14 * 42.24;
TSA = 132.63;
So the total surface area of right circular cone is 132.63 inch2.

## Find the total surface area of right circular cone whose radius is 12 inch and height of right circular cone is 17 inch?

The formula for finding the total surface area of Right Circular Cone is given by:
TSA of a right circular cone = âŠĽr (r + √ r2 + h2);
Here ‘r’ is the radius of right circular cone and ‘h’ is the height of right circular cone.
Height = 17 inch.
And we know that the value of âŠĽis 3.14;
TSA =?
On putting these values in the given formula we get the TSA of right circular cone.
TSA of a right circular cone = âŠĽr (r + √ r2 + h2);
TSA = 3.14 * 12 (12 + √ (12)2 + (17)2;
TSA = 3.14 * 12 (12 + √ 144 + 289;
TSA = 3.14 * 12 (12 + √ 433;
TSA = 3.14 * 12 (12 + 20.80);
TSA = 3.14 * 393.70;
TSA = 1236.23;
So the total surface area of right circular cone is 1236.23 inch2.

## Find the total surface area of right circular cone whose radius is 2 inch and height of right circular cone is 5 inch?

The formula for finding the total surface area of Right Circular Cone is given by:
TSA of a right circular cone = âŠĽr (r + √ r2 + h2);
Here ‘r’ is the radius of right circular cone and ‘h’ is the height of right circular cone.
Height = 5 inch.
And we know that the value of âŠĽis 3.14;
TSA =?
On putting these values in the given formula we get the TSA of right circular cone.
TSA of a right circular cone = âŠĽr (r + √ r2 + h2);
TSA = 3.14 * 2 (2 + √ (2)2 + (5)2);
TSA = 3.14 * 2 (2 + √ 4 + 25);
TSA = 3.14 * 2 (2 + √ 29);
TSA = 3.14 * 2 (2 + 5.38);
TSA = 3.14 * 14.76;
TSA = 46.34;
So the total surface area of right circular cone is 46.34 inch2.

## 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;
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.

## 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 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;
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 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;
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 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;
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.

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