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.

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

**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 = $\frac{1}{3}$ $\pi$r^{2}h

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

Put the values in the formulas and calculate it further.

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 = $\frac{1}{3}$ $\pi$r

^{2}h

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 * 8

^{2}* 16

V = 1072.33 cm

^{3}

**Curved Surface Area of Cone**

CSA = 3.142 * 8 * 17.88

CSA = 449.6 cm

^{2}

**Total Surface Area of Cone**

A = 3.142 * 8 * (17.88 + 8)

A = 650.66 cm

^{2}**Answer :****Slant Height of Cone**= 17.88 cm**Volume of Cone**= 1072.33 cm^{3}**Curved Surface Area of Cone**= 449.6 cm^{2}**Total Surface Area of Cone**= 650.66 cm^{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 = $\frac{1}{3}$ $\pi$r

^{2}h

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 * 5

^{2}* 13

V = 340.33 m

^{3}

**Curved Surface Area of Cone**

CSA = 3.142 * 5 * 13.92

CSA = 218.78 m

^{2}

**Total Surface Area of Cone**

A = 3.142 * 5 * (13.92 + 5)

A = 297.32 m

^{2}**Answer :****Slant Height of Cone**= 13.92 m**Volume of Cone**= 340.33 m^{3}**Curved Surface Area of Cone**= 218.78 m^{2}**Total Surface Area of Cone**= 297.32 m^{2}

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