Check sibling questions

Ex 13.2, 8 - A spherical glass vessel has a cylindrical neck - Ex 13.2

Ex 13.2.jpg
Ex 13.2.jpg Ex 13.2, 8 - Chapter 13 Class 10 Surface Areas and Volumes - Part 3

 

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

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

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

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.