# ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration

Question 2 Mensuration Exercise 17.2

Take π = 22/7 unless stated otherwise.

Write whether the following statements are true or false. Justify your answer.

If the radius of a right circular cone is halved and its height is doubled, the volume will remain unchanged.

Solution:

Assume that a cone has a height of "h" and a circular base with radius "r." This cone will have a volume that is one-third of the product of the base's area and its height.

Volume of cone = (1/3)π r2h

If radius is halved and height is doubled, then volume = (1/3)π (r/2)2 2h = (1/3)π r2h/2

If the radius of a right circular cone is halved and its height is doubled, the volume will be halved.

So given statement is false.

Related Questions

Lido

Courses

Teachers

Book a Demo with us

Syllabus

Maths
CBSE
Maths
ICSE
Science
CBSE

Science
ICSE
English
CBSE
English
ICSE
Coding

Terms & Policies

Selina Question Bank

Maths
Physics
Biology

Allied Question Bank

Chemistry
Connect with us on social media!