Surface Area of a Cone 17 centimeters by 23 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 17 centimeters by height 23 centimeters is 2434.1653282 centimeters².

Steps:

Given that Base radius(r) = 17 cm and height(h) = 23 cm

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

Substitute the values of the radius r = 17 cm and height h = 23 cm into the formula. Pi (π) is approximately equal to 3.14 .

$(π⋅(17))$⋅ $(17$ + $\sqrt{(17)^2 + (23)^2})$

Move 17 to the left of π.

$(17π)$⋅$ (17$ + $\sqrt{(17)^2 + (23)^2}$

Simplify each term

Raise 17 cm to the power of 2 and 23 to the power of 2

$(17π)$⋅$ (17$ + $\sqrt{(289.0) + (529.0)}$ cm

Add 289.0 cm and 529.0 cm

$(17π)$ cm⋅$ (17$ + $\sqrt{(818.0)}$ cm

Multipy 17π cm and 17 cm

289.0π cm + (17π . $\sqrt818.0$)cm

Put the value of $\sqrt818.0$ = 28.6006993 in formula

289.0π cm + (17π . 28.6006993) cm

Mulitply the 17π and 28.6006993

289.0π cm + (486.211888π)

Add 289.0π cm and 486.211888π cm

The result can be shown in multiple forms

Exact Form

Area = 775.211888π cm

∴ Surface Area of Cone 17 cm by 23 cm is 775.211888π cm²

Decimal Form

2434.1653282 cm²

∴ Surface Area of Cylinder 17 cm by 23 cm is 2434.1653282 cm²