Surface Area of a Cone 84 foot by 23 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 84 foot by height 23 foot is 45127.2009892 foot².

Steps:

Given that Base radius(r) = 84 ft and height(h) = 23 ft

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

Substitute the values of the radius r = 84 ft and height h = 23 ft into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(84))$⋅ $(84$ + $\sqrt{(84)^2 + (23)^2})$

Move 84 to the left of π.

$(84π)$⋅$ (84$ + $\sqrt{(84)^2 + (23)^2}$

Simplify each term

Raise 84 ft to the power of 2 and 23 to the power of 2

$(84π)$⋅$ (84$ + $\sqrt{(7056.0) + (529.0)}$ ft

Add 7056.0 ft and 529.0 ft

$(84π)$ ft⋅$ (84$ + $\sqrt{(7585.0)}$ ft

Multipy 84π ft and 84 ft

7056.0π ft + (84π . $\sqrt7585.0$)ft

Put the value of $\sqrt7585.0$ = 87.0919055 in formula

7056.0π ft + (84π . 87.0919055) ft

Mulitply the 84π and 87.0919055

7056.0π ft + (7315.7200603π)

Add 7056.0π ft and 7315.7200603π ft

The result can be shown in multiple forms

Exact Form

Area = 14371.7200603π ft

∴ Surface Area of Cone 84 ft by 23 ft is 14371.7200603π ft²

Decimal Form

45127.2009892 ft²

∴ Surface Area of Cylinder 84 ft by 23 ft is 45127.2009892 ft²