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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.5 in Chapter 17 - Mensuration
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How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm x 11 cm x 12 cm?
Answer:
Solution:
When we convert one solid shape to another, its volume remains the same, no matter how different the new shape is.
Given dimensions of the cuboidal solid = 9 cm× 11 cm× 12 cm
Volume of the cuboidal solid = 9×11×12 = 1188 cm3
Diameter of shot = 3 cm
So radius of shot, r = 3/2 = 1.5 cm
Volume of shot = (4/3)π r3
= (4/3) π x1.53
= (4/3)x(22/7)x1.53
= 297/21 cm3
Number of shots made from cuboidal lead of solid = 1188÷(297/21)
= 1188×21/297
= 84
Hence the number of shots made from cuboidal lead of solid is 84. 
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