A metallic cone of diameter 32 cm and radius 9cm is melted and made into identical spheres each of radius 2cm. how many such spheres can be made
STEP 1;
Diameter of cone = 32 cm
Height of cone = 9 cm
Radius of sphere = 2 cm
STEP 2:
Diameter = Radius × 2
The volume of cone = (1/3)πr2h
The volume of sphere = (4/3)πr3
STEP 3:
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Diameter = 32 cm
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Radius = 32/2 = 16 cm
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The volume of cone = Number of sphere × The volume of 1 Sphere
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(1/3)π(16)2(9) = Number of sphere × (4/3)π(2)3
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Number of spheres = 72
Answer: 72