Surface Area of a Cone 45 meters by 81 meters 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 45 meters by height 81 meters is 19451.4528503 meters².

Steps:

Given that Base radius(r) = 45 m and height(h) = 81 m

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

Substitute the values of the radius r = 45 m and height h = 81 m into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(45))$⋅ $(45$ + $\sqrt{(45)^2 + (81)^2})$

Move 45 to the left of π.

$(45π)$⋅$ (45$ + $\sqrt{(45)^2 + (81)^2}$

Simplify each term

Raise 45 m to the power of 2 and 81 to the power of 2

$(45π)$⋅$ (45$ + $\sqrt{(2025.0) + (6561.0)}$ m

Add 2025.0 m and 6561.0 m

$(45π)$ m⋅$ (45$ + $\sqrt{(8586.0)}$ m

Multipy 45π m and 45 m

2025.0π m + (45π . $\sqrt8586.0$)m

Put the value of $\sqrt8586.0$ = 92.6606713 in formula

2025.0π m + (45π . 92.6606713) m

Mulitply the 45π and 92.6606713

2025.0π m + (4169.7302071π)

Add 2025.0π m and 4169.7302071π m

The result can be shown in multiple forms

Exact Form

Area = 6194.7302071π m

∴ Surface Area of Cone 45 m by 81 m is 6194.7302071π m²

Decimal Form

19451.4528503 m²

∴ Surface Area of Cylinder 45 m by 81 m is 19451.4528503 m²