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

Question 15 Mensuration Exercise 17.2

Find the capacity in litres of a conical vessel with radius 7 cm, slant height 25 cm.

Solution:

Consider a cone with a height of "h" and a circular base with radius "r." This cone's volume will be equal to one-third of the base's area multiplied by its height.

Given radius, r = 7 cm

Slant height, _l_ = 25 cm

We know that l2 = h2+r2

Height of the conical vessel, h = √(l2-r2)

= √(252-72)

= √(625-49)

= √576

= 24 cm

Volume of the cone = (1/3)π r2h

=(1/3)×(22/7)×72×24

= 22×7×8

= 1232 cm3

= 1.232 litres [1 litre = 1000 cm3]

Hence the volume of the cone is 1.232 litres.

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!