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Question
How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm × 11cm × 12cm?
Solution
Volume of cuboid = lbh,
Where, l = length,
b = breadth
And h = height
Cuboidal lead:
Length, l = 9 cm
Breadth, b = 11 cm
Height, h = 12 cm
Volume of lead = 9(11)(12) = 1188 cm3
Volume of sphere = `4/(3π"r"^3)`, where r = radius of sphere
Spherical shots,
Diameter = 3 cm
Radius, r = 1.5 cm
Volume of one shot = `4/3 × 22/7 × (1.5)^3`
= `99/7 "cm"^3`
No. of shots can be made = `"Volume of lead"/"Volume of one shot"`
= `1188/(99/7)`
= `(1188 xx 7)/99`
= 84
Hence, the number of bullets that can be made from lead = 84.
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