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Cone Calculator
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Cone Calculator is an online tool used to find volume, slant height, curved surface area and total surface of cone.

Cone is a solid geometrical object. It is generated by rotating right angle triangle from its circular base.

## Step by Step Calculation

Step 1 :

Cone Formula's

Slant Height of Cone

l = $\sqrt{r^{2} + h^{2}}$

Where l = slant height, r = radius and h = height

Volume of Cone

V = $\frac{1}{3}$ $\pi$r2h

Where V = volume, r = radius, h = height and $\pi$ value = 3.142

Curved Surface Area of Cone

CSA = $\pi$rl

Where CSA = Curved Surface Area, r = radius, l = slant height and $\pi$ value = 3.142

Total Surface Area of Cone

A = $\pi$r(l + r)

Where A = area, r = radius, l = slant height and $\pi$ value = 3.142

Step 2 :

Put the values in the formulas and calculate it further.

## Example Problems

1. ### The cone has the radius = 8 cm, height = 16 cm. Find the slant height, volume, curved surface area and total surface area of the cone.

Step 1 :

Given: Cone has the radius = 8 cm, height = 16 cm.

Slant Height of Cone

l = $\sqrt{r^{2} + h^{2}}$

Where l = slant height, r = radius and h = height

Volume of Cone

V = $\frac{1}{3}$ $\pi$r2h

Where V = volume, r = radius, h = height and $\pi$ value = 3.142

Curved Surface Area of Cone

CSA = $\pi$rl

Where CSA = Curved Surface Area, r = radius, l = slant height and $\pi$ value = 3.142

Total Surface Area of Cone

A = $\pi$r(l + r)

Where A = area, r = radius, l = slant height and $\pi$ value = 3.142

Step 2 :

Put the values in the formulas and calculate it further.

Slant Height of Cone

l = $\sqrt{8^{2} + 16^{2}}$

l = 17.88 cm

Volume of Cone

V = $\frac{1}{3}$ 3.142 * 82 * 16

V = 1072.33 cm3

Curved Surface Area of Cone

CSA = 3.142 * 8 * 17.88

CSA = 449.6 cm2

Total Surface Area of Cone

A = 3.142 * 8 * (17.88 + 8)

A = 650.66 cm2

Slant Height of Cone = 17.88 cm

Volume of Cone = 1072.33 cm3

Curved Surface Area of Cone = 449.6 cm2

Total Surface Area of Cone = 650.66 cm2

2. ### The cone has the radius = 5 m, height = 13 m. Find the slant height, volume, curved surface area and total surface area of the cone.

Step 1 :

Given: Cone has the radius = 5 m, height = 13 m.

Slant Height of Cone

l = $\sqrt{r^{2} + h^{2}}$

Where l = slant height, r = radius and h = height

Volume of Cone

V = $\frac{1}{3}$ $\pi$r2h

Where V = volume, r = radius, h = height and $\pi$ value = 3.142

Curved Surface Area of Cone

CSA = $\pi$rl

Where CSA = Curved Surface Area, r = radius, l = slant height and $\pi$ value = 3.142

Total Surface Area of Cone

A = $\pi$r(l + r)

Where A = area, r = radius, l = slant height and $\pi$ value = 3.142

Step 2 :

Put the values in the formulas and calculate it further.

Slant Height of Cone

l = $\sqrt{5^{2} + 13^{2}}$

l = 13.92 m

Volume of Cone

V = $\frac{1}{3}$ 3.142 * 52 * 13

V = 340.33 m3

Curved Surface Area of Cone

CSA = 3.142 * 5 * 13.92

CSA = 218.78 m2

Total Surface Area of Cone

A = 3.142 * 5 * (13.92 + 5)

A = 297.32 m2

Slant Height of Cone = 13.92 m

Volume of Cone = 340.33 m3

Curved Surface Area of Cone = 218.78 m2

Total Surface Area of Cone = 297.32 m2

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