Surface Area of a Cone 12 centimeters by 46 centimeters 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 12 centimeters by height 46 centimeters is 2243.4467509 centimeters².

Steps:

Given that Base radius(r) = 12 cm and height(h) = 46 cm

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

Substitute the values of the radius r = 12 cm and height h = 46 cm into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(12))$⋅ $(12$ + $\sqrt{(12)^2 + (46)^2})$

Move 12 to the left of π.

$(12π)$⋅$ (12$ + $\sqrt{(12)^2 + (46)^2}$

Simplify each term

Raise 12 cm to the power of 2 and 46 to the power of 2

$(12π)$⋅$ (12$ + $\sqrt{(144.0) + (2116.0)}$ cm

Add 144.0 cm and 2116.0 cm

$(12π)$ cm⋅$ (12$ + $\sqrt{(2260.0)}$ cm

Multipy 12π cm and 12 cm

144.0π cm + (12π . $\sqrt2260.0$)cm

Put the value of $\sqrt2260.0$ = 47.5394573 in formula

144.0π cm + (12π . 47.5394573) cm

Mulitply the 12π and 47.5394573

144.0π cm + (570.4734876π)

Add 144.0π cm and 570.4734876π cm

The result can be shown in multiple forms

Exact Form

Area = 714.4734876π cm

∴ Surface Area of Cone 12 cm by 46 cm is 714.4734876π cm²

Decimal Form

2243.4467509 cm²

∴ Surface Area of Cylinder 12 cm by 46 cm is 2243.4467509 cm²