Surface Area of Cylinder

radius = 7, height = 10

Answer:

747.7 square units

Shape Visualization

Cylinder with radius 7 units and height 10 units

Step-by-Step Solution

1

Identify the formula for surface area of a cylinder

SA = 2πrh + 2πr²
2

Calculate lateral surface area

2πrh = 2 × π × 7 × 10 = 439.8
3

Calculate area of two circles

2πr² = 2 × π × 7² = 307.9
4

Add both areas

439.8 + 307.9 = 747.7
5

Final answer

Surface Area = 747.7 square units

Formula Used

SA = 2πrh + 2πr²

This formula calculates the surface-area of a cylinder.

Real-World Applications

1

A cylindrical can with 7 cm radius and 10 cm height needs 747.7 cm² of material

Understanding Cylinder Surface area

The surface area of a cylinder 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 = 2πrh + 2πr², we can quickly and accurately calculate the surface area for any cylinder when we know the required measurements.

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