Volume of Sphere

radius = 10

Answer:

4188.8 cubic units

Shape Visualization

Sphere with radius 10 units

Step-by-Step Solution

1

Identify the formula for volume of a sphere

V = (4/3)πr³
2

Cube the radius

r³ = 10³ = 1000
3

Multiply by π

π × 1000 = 3141.6
4

Multiply by 4/3

(4/3) × 3141.6 = 4188.8
5

Final answer

Volume = 4188.8 cubic units

Formula Used

V = (4/3)πr³

This formula calculates the volume of a sphere.

Real-World Applications

1

A spherical ball with 10 cm radius has 4188.8 cubic centimeters of volume

2

A globe with 10 inch radius = 4188.8 cubic inches

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Understanding Sphere Volume

The volume of a sphere 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 = (4/3)πr³, we can quickly and accurately calculate the volume for any sphere when we know the required measurements.

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