Volume of Cone

radius = 10, height = 50

Answer:

5236.0 cubic units

Shape Visualization

Cone with radius 10 units and height 50 units

Step-by-Step Solution

1

Identify the formula for volume of a cone

V = (1/3)πr²h
2

Square the radius

r² = 10² = 100
3

Multiply by π and height

π × 100 × 50 = 15708
4

Multiply by 1/3

(1/3) × 15708 = 5236.0
5

Final answer

Volume = 5236.0 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 10 cm radius and 50 cm height holds 5236.0 cubic centimeters

2

A conical funnel 10 inches wide and 50 inches tall = 5236.0 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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