Surface Area of a Cone 4 centimeters by 4 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 4 centimeters by height 4 centimeters is 121.2900894 centimeters².

Steps:

Given that Base radius(r) = 4 cm and height(h) = 4 cm

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

Substitute the values of the radius r = 4 cm and height h = 4 cm into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(4))$⋅ $(4$ + $\sqrt{(4)^2 + (4)^2})$

Move 4 to the left of π.

$(4π)$⋅$ (4$ + $\sqrt{(4)^2 + (4)^2}$

Simplify each term

Raise 4 cm to the power of 2 and 4 to the power of 2

$(4π)$⋅$ (4$ + $\sqrt{(16.0) + (16.0)}$ cm

Add 16.0 cm and 16.0 cm

$(4π)$ cm⋅$ (4$ + $\sqrt{(32.0)}$ cm

Multipy 4π cm and 4 cm

16.0π cm + (4π . $\sqrt32.0$)cm

Put the value of $\sqrt32.0$ = 5.6568542 in formula

16.0π cm + (4π . 5.6568542) cm

Mulitply the 4π and 5.6568542

16.0π cm + (22.627417π)

Add 16.0π cm and 22.627417π cm

The result can be shown in multiple forms

Exact Form

Area = 38.627417π cm

∴ Surface Area of Cone 4 cm by 4 cm is 38.627417π cm²

Decimal Form

121.2900894 cm²

∴ Surface Area of Cylinder 4 cm by 4 cm is 121.2900894 cm²