NCERT Solutions for Class 10 Maths Chapter 13
Important NCERT Questions
Surface areas and Volumes,
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 13.2
Page No:247
Questions No:2
Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)
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Height of conical part (h₁) = 2 cm
Radius of conical part (r) = Radius of cylindrical part (r) = 3/2 cm
Height of cylindrical part (h₂) = 12 – 2 × Height of conical part
= 12 – 2 × 2 = 8 cm
The volume of air contained in the modal
= Volume of cylindrical part + 2 × Volume of conical part
= πr²h₂ + 2 × 1/3πr²h₁
= π(3/2)² . 8 + 2 × 1/3π(3/2)².2
= 18π + 3π = 21π = 21 × 22/7 = 66 cm³.
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