Surface Area of a Cone 80 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 80 foot by height 64 foot is 45831.4369351 foot².

Steps:

Given that Base radius(r) = 80 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 = 80 ft and height h = 64 ft into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(80))$⋅ $(80$ + $\sqrt{(80)^2 + (64)^2})$

Move 80 to the left of π.

$(80π)$⋅$ (80$ + $\sqrt{(80)^2 + (64)^2}$

Simplify each term

Raise 80 ft to the power of 2 and 64 to the power of 2

$(80π)$⋅$ (80$ + $\sqrt{(6400.0) + (4096.0)}$ ft

Add 6400.0 ft and 4096.0 ft

$(80π)$ ft⋅$ (80$ + $\sqrt{(10496.0)}$ ft

Multipy 80π ft and 80 ft

6400.0π ft + (80π . $\sqrt10496.0$)ft

Put the value of $\sqrt10496.0$ = 102.4499878 in formula

6400.0π ft + (80π . 102.4499878) ft

Mulitply the 80π and 102.4499878

6400.0π ft + (8195.9990239π)

Add 6400.0π ft and 8195.9990239π ft

The result can be shown in multiple forms

Exact Form

Area = 14595.9990239π ft

∴ Surface Area of Cone 80 ft by 64 ft is 14595.9990239π ft²

Decimal Form

45831.4369351 ft²

∴ Surface Area of Cylinder 80 ft by 64 ft is 45831.4369351 ft²