Surface Area of a Cone 77 foot by 65 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 65 foot is 42980.5193097 foot².

Steps:

Given that Base radius(r) = 77 ft and height(h) = 65 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 = 65 ft into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(77))$⋅ $(77$ + $\sqrt{(77)^2 + (65)^2})$

Move 77 to the left of π.

$(77π)$⋅$ (77$ + $\sqrt{(77)^2 + (65)^2}$

Simplify each term

Raise 77 ft to the power of 2 and 65 to the power of 2

$(77π)$⋅$ (77$ + $\sqrt{(5929.0) + (4225.0)}$ ft

Add 5929.0 ft and 4225.0 ft

$(77π)$ ft⋅$ (77$ + $\sqrt{(10154.0)}$ ft

Multipy 77π ft and 77 ft

5929.0π ft + (77π . $\sqrt10154.0$)ft

Put the value of $\sqrt10154.0$ = 100.7670581 in formula

5929.0π ft + (77π . 100.7670581) ft

Mulitply the 77π and 100.7670581

5929.0π ft + (7759.0634744π)

Add 5929.0π ft and 7759.0634744π ft

The result can be shown in multiple forms

Exact Form

Area = 13688.0634744π ft

∴ Surface Area of Cone 77 ft by 65 ft is 13688.0634744π ft²

Decimal Form

42980.5193097 ft²

∴ Surface Area of Cylinder 77 ft by 65 ft is 42980.5193097 ft²