Surface Area of a Cone 78 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 78 foot by height 64 foot is 43815.2049022 foot².

Steps:

Given that Base radius(r) = 78 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 = 78 ft and height h = 64 ft into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(78))$⋅ $(78$ + $\sqrt{(78)^2 + (64)^2})$

Move 78 to the left of π.

$(78π)$⋅$ (78$ + $\sqrt{(78)^2 + (64)^2}$

Simplify each term

Raise 78 ft to the power of 2 and 64 to the power of 2

$(78π)$⋅$ (78$ + $\sqrt{(6084.0) + (4096.0)}$ ft

Add 6084.0 ft and 4096.0 ft

$(78π)$ ft⋅$ (78$ + $\sqrt{(10180.0)}$ ft

Multipy 78π ft and 78 ft

6084.0π ft + (78π . $\sqrt10180.0$)ft

Put the value of $\sqrt10180.0$ = 100.895986 in formula

6084.0π ft + (78π . 100.895986) ft

Mulitply the 78π and 100.895986

6084.0π ft + (7869.8869115π)

Add 6084.0π ft and 7869.8869115π ft

The result can be shown in multiple forms

Exact Form

Area = 13953.8869115π ft

∴ Surface Area of Cone 78 ft by 64 ft is 13953.8869115π ft²

Decimal Form

43815.2049022 ft²

∴ Surface Area of Cylinder 78 ft by 64 ft is 43815.2049022 ft²