Volume of Cylinder

radius = 12, height = 15

Answer:

6785.8 cubic units

Shape Visualization

Cylinder with radius 12 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 = 12² = 144
3

Multiply by π and height

π × 144 × 15 = 6785.8
4

Final answer

Volume = 6785.8 cubic units

Formula Used

V = πr²h

This formula calculates the volume of a cylinder.

Real-World Applications

1

A cylindrical water tank with 12m radius and 15m height holds 6785.8 cubic meters

2

A can with 12 inch radius and 15 inch height = 6785.8 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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