Topic Details (Notes format)

How to Calculate the Volume of a Cylinder

Subject: Mathematics

Book: Maths Mastery

Cylinder volume is found using the formula V = πr²h, where r is the radius of the circular base and h is the height. For a cylindrical container with radius 3 cm and height 10 cm, the volume is π × 3² × 10 = 90π cm³. This concept is ubiquitous: from determining how much liquid a tank can hold to calculating the volume of rolled sheets. A firm grasp of cylindrical volume paves the way for analyzing advanced solids like cones or spheres in geometry, engineering, and everyday scenarios (e.g., deciding the right size of a water tank).

Practice Questions

What is the cube of 4?

View Question

If x = 2 and y = 3, what is the value of (x^2 + y^2)?

View Question

A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

View Question

A car covers a distance of 150 km in 2.5 hours. What is its average speed?

View Question

If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

View Question

How many diagonals does a pentagon have?

View Question

What is the sum of all angles in a hexagon?

View Question

A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

View Question

What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

View Question

If a square has a perimeter of 64 cm, what is its area?

View Question