Volume of Cone

radius = 4, height = 40

Answer:

670.2 cubic units

Shape Visualization

Cone with radius 4 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 = 4² = 16
3

Multiply by π and height

π × 16 × 40 = 2010.6
4

Multiply by 1/3

(1/3) × 2010.6 = 670.2
5

Final answer

Volume = 670.2 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 4 cm radius and 40 cm height holds 670.2 cubic centimeters

2

A conical funnel 4 inches wide and 40 inches tall = 670.2 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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