Surface Area of Sphere

radius = 6

Answer:

452.4 square units

Shape Visualization

Sphere with radius 6 units

Step-by-Step Solution

1

Identify the formula for surface area of a sphere

SA = 4πr²
2

Square the radius

r² = 6² = 36
3

Multiply by 4π

4 × π × 36 = 452.4
4

Final answer

Surface Area = 452.4 square units

Formula Used

SA = 4πr²

This formula calculates the surface-area of a sphere.

Real-World Applications

1

A ball with 6 cm radius has 452.4 cm² of surface area

2

A spherical balloon with 6 inch radius = 452.4 square inches of surface

Understanding Sphere Surface area

The surface area of a sphere is a fundamental concept in geometry. Surface area measures the total area of all surfaces of a 3D object, expressed in square units.

By using the formula SA = 4πr², we can quickly and accurately calculate the surface area for any sphere when we know the required measurements.

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