Volume of Sphere

radius = 40

Answer:

268083 cubic units

Shape Visualization

Sphere with radius 40 units

Step-by-Step Solution

1

Identify the formula for volume of a sphere

V = (4/3)πr³
2

Cube the radius

r³ = 40³ = 64000
3

Multiply by π

π × 64000 = 201062
4

Multiply by 4/3

(4/3) × 201062 = 268083
5

Final answer

Volume = 268083 cubic units

Formula Used

V = (4/3)πr³

This formula calculates the volume of a sphere.

Real-World Applications

1

A spherical ball with 40 cm radius has 268083 cubic centimeters of volume

2

A globe with 40 inch radius = 268083 cubic inches

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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