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Maths / Surface Area and Volume / Melting and Recasting
QUESTION
 

How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 ; cm times 11 ; cm times 12 ; cm ;?

EXPLANATION
Explain TypeExplanation Content
Text

length= 9cm

breadth= 11 cm

height = 12 cm

Volume of cuboid= length X breadth X height= 9 X 11 X 12=1188 c cm

Diameter of shots= 3cm

radius= 3/2 =1.5 cm

volume; of; sphere =frac{4}{3}pi r^3= frac{4}{3} X frac{22}{7} X (frac{3}{2})^3=frac{99}{7}

Number of shots=frac{Volume; of; cuboid}{volume ;of ;sphere}=frac{1188}{frac{99}{7}}=frac{1188}{1} X frac{7}{99}=84

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