Surface Area of a Cone 12 meters by 22 meters Calculator

The surface area of a cone is equal to the area of the base plus the area of the cone. If the cone Radius 12 meters by height 22 meters is 1396.4180935 meters².

Steps:

Given that Base radius(r) = 12 m and height(h) = 22 m

Surface Area of a Cone = $(π⋅(Radius))$⋅($(Radius)$ + $\sqrt{(Radius)^2+(Height)^2}$)

Substitute the values of the radius r = 12 m and height h = 22 m into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(12))$⋅ $(12$ + $\sqrt{(12)^2 + (22)^2})$

Move 12 to the left of π.

$(12π)$⋅$ (12$ + $\sqrt{(12)^2 + (22)^2}$

Simplify each term

Raise 12 m to the power of 2 and 22 to the power of 2

$(12π)$⋅$ (12$ + $\sqrt{(144.0) + (484.0)}$ m

Add 144.0 m and 484.0 m

$(12π)$ m⋅$ (12$ + $\sqrt{(628.0)}$ m

Multipy 12π m and 12 m

144.0π m + (12π . $\sqrt628.0$)m

Put the value of $\sqrt628.0$ = 25.0599282 in formula

144.0π m + (12π . 25.0599282) m

Mulitply the 12π and 25.0599282

144.0π m + (300.7191381π)

Add 144.0π m and 300.7191381π m

The result can be shown in multiple forms

Exact Form

Area = 444.7191381π m

∴ Surface Area of Cone 12 m by 22 m is 444.7191381π m²

Decimal Form

1396.4180935 m²

∴ Surface Area of Cylinder 12 m by 22 m is 1396.4180935 m²