Surface Area of Cylinder

radius = 3, height = 15

Answer:

339.3 square units

Shape Visualization

Cylinder with radius 3 units and height 15 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 × 3 × 15 = 282.7
3

Calculate area of two circles

2πr² = 2 × π × 3² = 56.55
4

Add both areas

282.7 + 56.55 = 339.3
5

Final answer

Surface Area = 339.3 square units

Formula Used

SA = 2πrh + 2πr²

This formula calculates the surface-area of a cylinder.

Real-World Applications

1

A cylindrical can with 3 cm radius and 15 cm height needs 339.3 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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