Surface Area of a Cone 35 foot by 61 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 35 foot by height 61 foot is 11575.5256475 foot².

Steps:

Given that Base radius(r) = 35 ft and height(h) = 61 ft

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

Substitute the values of the radius r = 35 ft and height h = 61 ft into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(35))$⋅ $(35$ + $\sqrt{(35)^2 + (61)^2})$

Move 35 to the left of π.

$(35π)$⋅$ (35$ + $\sqrt{(35)^2 + (61)^2}$

Simplify each term

Raise 35 ft to the power of 2 and 61 to the power of 2

$(35π)$⋅$ (35$ + $\sqrt{(1225.0) + (3721.0)}$ ft

Add 1225.0 ft and 3721.0 ft

$(35π)$ ft⋅$ (35$ + $\sqrt{(4946.0)}$ ft

Multipy 35π ft and 35 ft

1225.0π ft + (35π . $\sqrt4946.0$)ft

Put the value of $\sqrt4946.0$ = 70.3278039 in formula

1225.0π ft + (35π . 70.3278039) ft

Mulitply the 35π and 70.3278039

1225.0π ft + (2461.4731362π)

Add 1225.0π ft and 2461.4731362π ft

The result can be shown in multiple forms

Exact Form

Area = 3686.4731362π ft

∴ Surface Area of Cone 35 ft by 61 ft is 3686.4731362π ft²

Decimal Form

11575.5256475 ft²

∴ Surface Area of Cylinder 35 ft by 61 ft is 11575.5256475 ft²