Surface Area of a Cone 77 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 77 foot by height 64 foot is 42825.2636345 foot².

Steps:

Given that Base radius(r) = 77 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 = 77 ft and height h = 64 ft into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(77))$⋅ $(77$ + $\sqrt{(77)^2 + (64)^2})$

Move 77 to the left of π.

$(77π)$⋅$ (77$ + $\sqrt{(77)^2 + (64)^2}$

Simplify each term

Raise 77 ft to the power of 2 and 64 to the power of 2

$(77π)$⋅$ (77$ + $\sqrt{(5929.0) + (4096.0)}$ ft

Add 5929.0 ft and 4096.0 ft

$(77π)$ ft⋅$ (77$ + $\sqrt{(10025.0)}$ ft

Multipy 77π ft and 77 ft

5929.0π ft + (77π . $\sqrt10025.0$)ft

Put the value of $\sqrt10025.0$ = 100.124922 in formula

5929.0π ft + (77π . 100.124922) ft

Mulitply the 77π and 100.124922

5929.0π ft + (7709.6189919π)

Add 5929.0π ft and 7709.6189919π ft

The result can be shown in multiple forms

Exact Form

Area = 13638.6189919π ft

∴ Surface Area of Cone 77 ft by 64 ft is 13638.6189919π ft²

Decimal Form

42825.2636345 ft²

∴ Surface Area of Cylinder 77 ft by 64 ft is 42825.2636345 ft²