Surface Area of a Cone 10 centimeters by 8 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 8 centimeters is 716.1162021 centimeters².

Steps:

Given that Base radius(r) = 10 cm and height(h) = 8 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 = 8 cm into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(10))$⋅ $(10$ + $\sqrt{(10)^2 + (8)^2})$

Move 10 to the left of π.

$(10π)$⋅$ (10$ + $\sqrt{(10)^2 + (8)^2}$

Simplify each term

Raise 10 cm to the power of 2 and 8 to the power of 2

$(10π)$⋅$ (10$ + $\sqrt{(100.0) + (64.0)}$ cm

Add 100.0 cm and 64.0 cm

$(10π)$ cm⋅$ (10$ + $\sqrt{(164.0)}$ cm

Multipy 10π cm and 10 cm

100.0π cm + (10π . $\sqrt164.0$)cm

Put the value of $\sqrt164.0$ = 12.8062485 in formula

100.0π cm + (10π . 12.8062485) cm

Mulitply the 10π and 12.8062485

100.0π cm + (128.0624847π)

Add 100.0π cm and 128.0624847π cm

The result can be shown in multiple forms

Exact Form

Area = 228.0624847π cm

∴ Surface Area of Cone 10 cm by 8 cm is 228.0624847π cm²

Decimal Form

716.1162021 cm²

∴ Surface Area of Cylinder 10 cm by 8 cm is 716.1162021 cm²