Surface Area of a Cone 82 meters by 21 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 82 meters by height 21 meters is 42908.09525 meters².

Steps:

Given that Base radius(r) = 82 m and height(h) = 21 m

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

Substitute the values of the radius r = 82 m and height h = 21 m into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(82))$⋅ $(82$ + $\sqrt{(82)^2 + (21)^2})$

Move 82 to the left of π.

$(82π)$⋅$ (82$ + $\sqrt{(82)^2 + (21)^2}$

Simplify each term

Raise 82 m to the power of 2 and 21 to the power of 2

$(82π)$⋅$ (82$ + $\sqrt{(6724.0) + (441.0)}$ m

Add 6724.0 m and 441.0 m

$(82π)$ m⋅$ (82$ + $\sqrt{(7165.0)}$ m

Multipy 82π m and 82 m

6724.0π m + (82π . $\sqrt7165.0$)m

Put the value of $\sqrt7165.0$ = 84.646323 in formula

6724.0π m + (82π . 84.646323) m

Mulitply the 82π and 84.646323

6724.0π m + (6940.9984872π)

Add 6724.0π m and 6940.9984872π m

The result can be shown in multiple forms

Exact Form

Area = 13664.9984872π m

∴ Surface Area of Cone 82 m by 21 m is 13664.9984872π m²

Decimal Form

42908.09525 m²

∴ Surface Area of Cylinder 82 m by 21 m is 42908.09525 m²