Surface Area of a Cone 32 yards by 20 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 20 yards is 7007.0656966 yards².

Steps:

Given that Base radius(r) = 32 yd and height(h) = 20 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 = 20 yd into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(32))$⋅ $(32$ + $\sqrt{(32)^2 + (20)^2})$

Move 32 to the left of π.

$(32π)$⋅$ (32$ + $\sqrt{(32)^2 + (20)^2}$

Simplify each term

Raise 32 yd to the power of 2 and 20 to the power of 2

$(32π)$⋅$ (32$ + $\sqrt{(1024.0) + (400.0)}$ yd

Add 1024.0 yd and 400.0 yd

$(32π)$ yd⋅$ (32$ + $\sqrt{(1424.0)}$ yd

Multipy 32π yd and 32 yd

1024.0π yd + (32π . $\sqrt1424.0$)yd

Put the value of $\sqrt1424.0$ = 37.7359245 in formula

1024.0π yd + (32π . 37.7359245) yd

Mulitply the 32π and 37.7359245

1024.0π yd + (1207.5495849π)

Add 1024.0π yd and 1207.5495849π yd

The result can be shown in multiple forms

Exact Form

Area = 2231.5495849π yd

∴ Surface Area of Cone 32 yd by 20 yd is 2231.5495849π yd²

Decimal Form

7007.0656966 yd²

∴ Surface Area of Cylinder 32 yd by 20 yd is 7007.0656966 yd²