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
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