Volume of Cylinder

radius = 6, height = 15

Answer:

1696.5 cubic units

Shape Visualization

Cylinder with radius 6 units and height 15 units

Step-by-Step Solution

1

Identify the formula for volume of a cylinder

V = πr²h
2

Square the radius

r² = 6² = 36
3

Multiply by π and height

π × 36 × 15 = 1696.5
4

Final answer

Volume = 1696.5 cubic units

Formula Used

V = πr²h

This formula calculates the volume of a cylinder.

Real-World Applications

1

A cylindrical water tank with 6m radius and 15m height holds 1696.5 cubic meters

2

A can with 6 inch radius and 15 inch height = 1696.5 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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