Surface Area of a Cone 13 foot by 50 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 13 foot by height 50 foot is 2639.5177561 foot².

Steps:

Given that Base radius(r) = 13 ft and height(h) = 50 ft

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

Substitute the values of the radius r = 13 ft and height h = 50 ft into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(13))$⋅ $(13$ + $\sqrt{(13)^2 + (50)^2})$

Move 13 to the left of π.

$(13π)$⋅$ (13$ + $\sqrt{(13)^2 + (50)^2}$

Simplify each term

Raise 13 ft to the power of 2 and 50 to the power of 2

$(13π)$⋅$ (13$ + $\sqrt{(169.0) + (2500.0)}$ ft

Add 169.0 ft and 2500.0 ft

$(13π)$ ft⋅$ (13$ + $\sqrt{(2669.0)}$ ft

Multipy 13π ft and 13 ft

169.0π ft + (13π . $\sqrt2669.0$)ft

Put the value of $\sqrt2669.0$ = 51.6623654 in formula

169.0π ft + (13π . 51.6623654) ft

Mulitply the 13π and 51.6623654

169.0π ft + (671.6107504π)

Add 169.0π ft and 671.6107504π ft

The result can be shown in multiple forms

Exact Form

Area = 840.6107504π ft

∴ Surface Area of Cone 13 ft by 50 ft is 840.6107504π ft²

Decimal Form

2639.5177561 ft²

∴ Surface Area of Cylinder 13 ft by 50 ft is 2639.5177561 ft²