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

The base of a triangle is 10 cm and its height is 6 cm. What is its area?

View Question

A man spends 75% of his income and saves Rs. 600. What is his total income?

View Question

What is the sum of the first 50 positive integers?

View Question

If x + y = 10 and xy = 21, what is the value of x³ + y³?

View Question

If x - y = 5 and x + y = 15, what is the value of x?

View Question

If log(100) = 2 and log(10) = 1, what is log(1000)?

View Question

If the sum of three consecutive integers is 96, what are the integers?

View Question

If a:b = 2:3 and b:c = 4:5, what is a:c?

View Question

A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

View Question

If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

View Question