Volume of Cylinder

radius = 3, height = 30

Answer:

848.2 cubic units

Shape Visualization

Cylinder with radius 3 units and height 30 units

Step-by-Step Solution

1

Identify the formula for volume of a cylinder

V = πr²h
2

Square the radius

r² = 3² = 9
3

Multiply by π and height

π × 9 × 30 = 848.2
4

Final answer

Volume = 848.2 cubic units

Formula Used

V = πr²h

This formula calculates the volume of a cylinder.

Real-World Applications

1

A cylindrical water tank with 3m radius and 30m height holds 848.2 cubic meters

2

A can with 3 inch radius and 30 inch height = 848.2 cubic inches

Understanding Cylinder Volume

The volume of a cylinder is a fundamental concept in geometry. Volume measures the amount of space inside a 3D object, expressed in cubic units.

By using the formula V = πr²h, we can quickly and accurately calculate the volume for any cylinder when we know the required measurements.

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