Volume of Cylinder

radius = 10, height = 5

Answer:

1570.8 cubic units

Shape Visualization

Cylinder with radius 10 units and height 5 units

Step-by-Step Solution

1

Identify the formula for volume of a cylinder

V = πr²h
2

Square the radius

r² = 10² = 100
3

Multiply by π and height

π × 100 × 5 = 1570.8
4

Final answer

Volume = 1570.8 cubic units

Formula Used

V = πr²h

This formula calculates the volume of a cylinder.

Real-World Applications

1

A cylindrical water tank with 10m radius and 5m height holds 1570.8 cubic meters

2

A can with 10 inch radius and 5 inch height = 1570.8 cubic inches

Understanding Cylinder Volume

The volume of a cylinder 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 = πr²h, we can quickly and accurately calculate the volume 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