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:248

Questions No: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 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 π= 3.14.

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Radius of Spherical part (r₁) = 4.25 cm

Height of cylindrical part (h) = 8 cm

Radius of cylindrical part (r₂) = 1 cm

Volume of vessel = Volume of spherical part + Volume of cylindrical part

= 4/3πr₁³ + πr₂²h = 4/3π(8.5/2) ² + π(1) ²(8)

= 4/3 × 3.14 × 76.77 + 8 × 3.14 = 321.392 + 25.12 = 346. 51 cm³

Hence, her answer is incorrect.