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.

$How to Draw Cylinder$

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.

Next Chapters

Number Theory	Linear Equation	Set Theory	Math Fractions
Math Functions	Pyramid	Calculus	Cone
Cylinder	Chain Rule	Limits and Continuity	Prime Factorization
Square Roots and Cube Roots	Parabola	Distance Formula	Definite Integrals
Interest	Simple Interest	Compound Interest	Area of Irregular Figures