What is the formula for the volume of a cylinder? cilindro

A cylinder is a three-dimensional solid shape with two parallel circular bases connected by a curved surface. The volume of a cylinder tells us how much space it occupies inside.

Formula for the Volume of a Cylinder

V=πr2h

Where:

• $V$ = Volume of the cylinder

• $r$ = Radius of the circular base

• $h$ = Height of the cylinder

• $\pi$ = A mathematical constant, approximately 3.14159

Explanation of the Formula

1. Base Area: The base of a cylinder is a circle, and the area of a circle is given by $A = \pi r^{2}$.

2. Height Multiplication: To find the volume, we multiply the base area by the height of the cylinder. This extends the area of the circle through the third dimension, giving the total space inside the cylinder.

So, the formula is essentially:

Volume=Base Area×Height

Example Calculation

If a cylinder has a radius of 4 cm and a height of 10 cm, then:

V=π(42)(10)=π(16)(10)=160π≈502.65cm3

This means the cylinder can hold approximately 502.65 cubic centimeters of material.