Surface Area of Cylinder

radius = 5, height = 15

Answer:

628.3 square units

Shape Visualization

Cylinder with radius 5 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 × 5 × 15 = 471.2
3

Calculate area of two circles

2πr² = 2 × π × 5² = 157.1
4

Add both areas

471.2 + 157.1 = 628.3
5

Final answer

Surface Area = 628.3 square units

Formula Used

SA = 2πrh + 2πr²

This formula calculates the surface-area of a cylinder.

Real-World Applications

1

A cylindrical can with 5 cm radius and 15 cm height needs 628.3 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.

Need More Help with Geometry?

Get personalized 1-on-1 tutoring with expert geometry tutors. Master formulas, solve complex problems, and ace your exams!

Find Your Geometry Tutor