Volume of Cone

radius = 6, height = 40

Answer:

1508.0 cubic units

Shape Visualization

Cone with radius 6 units and height 40 units

Step-by-Step Solution

1

Identify the formula for volume of a cone

V = (1/3)πr²h
2

Square the radius

r² = 6² = 36
3

Multiply by π and height

π × 36 × 40 = 4523.9
4

Multiply by 1/3

(1/3) × 4523.9 = 1508.0
5

Final answer

Volume = 1508.0 cubic units

Formula Used

V = (1/3)πr²h

This formula calculates the volume of a cone.

Real-World Applications

1

An ice cream cone with 6 cm radius and 40 cm height holds 1508.0 cubic centimeters

2

A conical funnel 6 inches wide and 40 inches tall = 1508.0 cubic inches

Understanding Cone Volume

The volume of a cone 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 = (1/3)πr²h, we can quickly and accurately calculate the volume for any cone when we know the required measurements.

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