Ex 12.2, 8 - Chapter 12 Class 10 Surface Areas and Volumes

Last updated at May 26, 2023 by Teachoo

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Ex 12.2, 8
A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm3 . Check whether she is correct, taking the above as the inside measurements, and = 3.14.
Volume of vessel
= Volume of sphere + Volume of cylinder
Volume of sphere
Diameter = 8.5 cm
radius = r = ( )/2 = 8.5/2 = 4.25 cm
Volume of sphere = 4/3 3
= 4/3 3.14 (4.25)3
= 321.39 cm3
Volume of cylinder
Diameter = 2 cm
radius (r) = /2 = 2/2 = 1 cm
Height of cylinder(h) = 8 cm
Volume of cylinder = 2
= 3.14 (1)2 (8)
= 3.14 8
= 12.12 cm3
Now,
Volume of vessel = Volume of sphere + Volume of cylinder
= 321.39 + 25.12
= 346.51 cm3
Hence, volume obtained by child is incorrect,
correct volume is 346.51 cm3

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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