Surface Area of a Cone 77 foot by 68 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 77 foot by height 68 foot is 43454.5864333 foot².

Steps:

Given that Base radius(r) = 77 ft and height(h) = 68 ft

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

Substitute the values of the radius r = 77 ft and height h = 68 ft into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(77))$⋅ $(77$ + $\sqrt{(77)^2 + (68)^2})$

Move 77 to the left of π.

$(77π)$⋅$ (77$ + $\sqrt{(77)^2 + (68)^2}$

Simplify each term

Raise 77 ft to the power of 2 and 68 to the power of 2

$(77π)$⋅$ (77$ + $\sqrt{(5929.0) + (4624.0)}$ ft

Add 5929.0 ft and 4624.0 ft

$(77π)$ ft⋅$ (77$ + $\sqrt{(10553.0)}$ ft

Multipy 77π ft and 77 ft

5929.0π ft + (77π . $\sqrt10553.0$)ft

Put the value of $\sqrt10553.0$ = 102.7277957 in formula

5929.0π ft + (77π . 102.7277957) ft

Mulitply the 77π and 102.7277957

5929.0π ft + (7910.0402654π)

Add 5929.0π ft and 7910.0402654π ft

The result can be shown in multiple forms

Exact Form

Area = 13839.0402654π ft

∴ Surface Area of Cone 77 ft by 68 ft is 13839.0402654π ft²

Decimal Form

43454.5864333 ft²

∴ Surface Area of Cylinder 77 ft by 68 ft is 43454.5864333 ft²