Surface Area of a Cone 81 foot by 64 foot 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 81 foot by height 64 foot is 46857.7568065 foot².

Steps:

Given that Base radius(r) = 81 ft and height(h) = 64 ft

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

Substitute the values of the radius r = 81 ft and height h = 64 ft into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(81))$⋅ $(81$ + $\sqrt{(81)^2 + (64)^2})$

Move 81 to the left of π.

$(81π)$⋅$ (81$ + $\sqrt{(81)^2 + (64)^2}$

Simplify each term

Raise 81 ft to the power of 2 and 64 to the power of 2

$(81π)$⋅$ (81$ + $\sqrt{(6561.0) + (4096.0)}$ ft

Add 6561.0 ft and 4096.0 ft

$(81π)$ ft⋅$ (81$ + $\sqrt{(10657.0)}$ ft

Multipy 81π ft and 81 ft

6561.0π ft + (81π . $\sqrt10657.0$)ft

Put the value of $\sqrt10657.0$ = 103.2327467 in formula

6561.0π ft + (81π . 103.2327467) ft

Mulitply the 81π and 103.2327467

6561.0π ft + (8361.8524861π)

Add 6561.0π ft and 8361.8524861π ft

The result can be shown in multiple forms

Exact Form

Area = 14922.8524861π ft

∴ Surface Area of Cone 81 ft by 64 ft is 14922.8524861π ft²

Decimal Form

46857.7568065 ft²

∴ Surface Area of Cylinder 81 ft by 64 ft is 46857.7568065 ft²