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:4

# A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.

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Height of depression (h) = 1.4 cm

Radius of depression (r) = 0.5 cm

Volume of wood in the entire stand = Volume of cuboid – 4 × Volume of depression

= lbh – 4 × 1/3πr²h

= 15 × 10 × 3.5 – 4 × 1/3 × 22 /7 × 1/2 × 1/2 × 1.4

= 525 – 1.47

= 523 .53 cm³