# Cylinder

A cylinder is one of the most basic shapes in geometry. It is formed by taking some fixed origin and rotating it all around with a fixed radius and from the center take one more base similarly and join with the perpendicular height between the centers of each. So this gives the cylinder.

## Surface Area of a Cylinder

Surface area of cylinder includes the areas of the top and the bottom surface that is π * r2 * r2 + π * r2 * r2= 2 π * r2 * r2 and the area of perimeter that is

( π * r + π * r) h = 2 π * r * h .

## Volume of the Cylinder

Volume of a cylinder with radius r and height h is given V= π* r2 *h.

## Problems based on Cylinder

1. Find the surface area of the cylinder with the radius r = 6 cm.

Solution: The surface area of cylinder is 2*π* r2 = 2 * π * 6 2 = 226.24 cm2.

2. Find the surface area of the cylinder with the radius r = 10cm.

Solution: The surface area of cylinder is 2*π* r2 = 2 * π * 102 = 628.4 cm2.

3. Find the volume of the cylinder with radius r= 12 cm and height 30 cm

Solution: The volume of the cylinder is given by 2*π * r*h = 2 * π * 12 * 30 = 2262 cm3.

4. Find the volume of the cylinder with radius r= 6 cm and height 10 cm

Solution: The volume of the cylinder is given by 2*π * r*h = 2 * π * 6* 10 = 377cm3.

5. Find the volume of the cylinder with radius r= 2 cm and height 5cm

Solution: The volume of the cylinder is given by 2*π * r*h = 2 * π * 2* 5= 63cm3.

6. Find the surface area of the cylinder with the radius r = 3cm.

Solution: The surface area of cylinder is 2*π* r2 = 2 * π * 32 = 57cm2.

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