Surface Area of a Cone 15 centimeters by 50 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 15 centimeters by height 50 centimeters is 3165.1921828 centimeters².

Steps:

Given that Base radius(r) = 15 cm and height(h) = 50 cm

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

Substitute the values of the radius r = 15 cm and height h = 50 cm into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(15))$⋅ $(15$ + $\sqrt{(15)^2 + (50)^2})$

Move 15 to the left of π.

$(15π)$⋅$ (15$ + $\sqrt{(15)^2 + (50)^2}$

Simplify each term

Raise 15 cm to the power of 2 and 50 to the power of 2

$(15π)$⋅$ (15$ + $\sqrt{(225.0) + (2500.0)}$ cm

Add 225.0 cm and 2500.0 cm

$(15π)$ cm⋅$ (15$ + $\sqrt{(2725.0)}$ cm

Multipy 15π cm and 15 cm

225.0π cm + (15π . $\sqrt2725.0$)cm

Put the value of $\sqrt2725.0$ = 52.2015325 in formula

225.0π cm + (15π . 52.2015325) cm

Mulitply the 15π and 52.2015325

225.0π cm + (783.0229882π)

Add 225.0π cm and 783.0229882π cm

The result can be shown in multiple forms

Exact Form

Area = 1008.0229882π cm

∴ Surface Area of Cone 15 cm by 50 cm is 1008.0229882π cm²

Decimal Form

3165.1921828 cm²

∴ Surface Area of Cylinder 15 cm by 50 cm is 3165.1921828 cm²