Surface Area of a Cone 32 yards by 23 yards 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 32 yards by height 23 yards is 7175.0879971 yards².

Steps:

Given that Base radius(r) = 32 yd and height(h) = 23 yd

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

Substitute the values of the radius r = 32 yd and height h = 23 yd into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(32))$⋅ $(32$ + $\sqrt{(32)^2 + (23)^2})$

Move 32 to the left of π.

$(32π)$⋅$ (32$ + $\sqrt{(32)^2 + (23)^2}$

Simplify each term

Raise 32 yd to the power of 2 and 23 to the power of 2

$(32π)$⋅$ (32$ + $\sqrt{(1024.0) + (529.0)}$ yd

Add 1024.0 yd and 529.0 yd

$(32π)$ yd⋅$ (32$ + $\sqrt{(1553.0)}$ yd

Multipy 32π yd and 32 yd

1024.0π yd + (32π . $\sqrt1553.0$)yd

Put the value of $\sqrt1553.0$ = 39.408121 in formula

1024.0π yd + (32π . 39.408121) yd

Mulitply the 32π and 39.408121

1024.0π yd + (1261.0598717π)

Add 1024.0π yd and 1261.0598717π yd

The result can be shown in multiple forms

Exact Form

Area = 2285.0598717π yd

∴ Surface Area of Cone 32 yd by 23 yd is 2285.0598717π yd²

Decimal Form

7175.0879971 yd²

∴ Surface Area of Cylinder 32 yd by 23 yd is 7175.0879971 yd²