Surface Area of a Cone 10 centimeters by 6 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 10 centimeters by height 6 centimeters is 680.183779 centimeters².

Steps:

Given that Base radius(r) = 10 cm and height(h) = 6 cm

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

Substitute the values of the radius r = 10 cm and height h = 6 cm into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(10))$⋅ $(10$ + $\sqrt{(10)^2 + (6)^2})$

Move 10 to the left of π.

$(10π)$⋅$ (10$ + $\sqrt{(10)^2 + (6)^2}$

Simplify each term

Raise 10 cm to the power of 2 and 6 to the power of 2

$(10π)$⋅$ (10$ + $\sqrt{(100.0) + (36.0)}$ cm

Add 100.0 cm and 36.0 cm

$(10π)$ cm⋅$ (10$ + $\sqrt{(136.0)}$ cm

Multipy 10π cm and 10 cm

100.0π cm + (10π . $\sqrt136.0$)cm

Put the value of $\sqrt136.0$ = 11.6619038 in formula

100.0π cm + (10π . 11.6619038) cm

Mulitply the 10π and 11.6619038

100.0π cm + (116.6190379π)

Add 100.0π cm and 116.6190379π cm

The result can be shown in multiple forms

Exact Form

Area = 216.6190379π cm

∴ Surface Area of Cone 10 cm by 6 cm is 216.6190379π cm²

Decimal Form

680.183779 cm²

∴ Surface Area of Cylinder 10 cm by 6 cm is 680.183779 cm²