 # ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.3 in Chapter 17 - Mensuration

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

The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.

Solution:

The amount of space a sphere can occupy is determined by its volume. The three-dimensional shape of a spherical excludes vertices and edges.

Let the radius of sphere be r.

Then height of the cylinder, h = 2r

Volume of cylinder = π r2h

= π r2×2r

= 2π r3

Volume of sphere = (4/3)π r3

= (2/3)× 2π r3

= (2/3)× Volume of cylinder

Hence the given statement is true. 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!