Surface Area of a Cone 66 foot by 72 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 66 foot by height 72 foot is 33919.576682 foot².

Steps:

Given that Base radius(r) = 66 ft and height(h) = 72 ft

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

Substitute the values of the radius r = 66 ft and height h = 72 ft into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(66))$⋅ $(66$ + $\sqrt{(66)^2 + (72)^2})$

Move 66 to the left of π.

$(66π)$⋅$ (66$ + $\sqrt{(66)^2 + (72)^2}$

Simplify each term

Raise 66 ft to the power of 2 and 72 to the power of 2

$(66π)$⋅$ (66$ + $\sqrt{(4356.0) + (5184.0)}$ ft

Add 4356.0 ft and 5184.0 ft

$(66π)$ ft⋅$ (66$ + $\sqrt{(9540.0)}$ ft

Multipy 66π ft and 66 ft

4356.0π ft + (66π . $\sqrt9540.0$)ft

Put the value of $\sqrt9540.0$ = 97.6729236 in formula

4356.0π ft + (66π . 97.6729236) ft

Mulitply the 66π and 97.6729236

4356.0π ft + (6446.4129561π)

Add 4356.0π ft and 6446.4129561π ft

The result can be shown in multiple forms

Exact Form

Area = 10802.4129561π ft

∴ Surface Area of Cone 66 ft by 72 ft is 10802.4129561π ft²

Decimal Form

33919.576682 ft²

∴ Surface Area of Cylinder 66 ft by 72 ft is 33919.576682 ft²