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Phrases Area And Volume PYQ
The number of solid spheres ,each of diameter 3 cm that could be moulded to form a solid metal cylinder of height 54cm and diameter 4 cm is?
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Solution
Solution:
Diameter of sphere = 3 cm → Radius = 1.5 cm
Diameter of cylinder = 4 cm → Radius = 2 cm
Height of cylinder = 54 cm
Volume of one sphere:
Vs=43π(1.5)3=4.5π cm3
Volume of cylinder:
Vc=π(2)2(54)=216π cm3
Number of spheres:
Number=VcVs=216π4.5π=48
∴ The required number of spheres = 48.
Diameter of sphere = 3 cm → Radius = 1.5 cm
Diameter of cylinder = 4 cm → Radius = 2 cm
Height of cylinder = 54 cm
Volume of one sphere:
Vs=43π(1.5)3=4.5π cm3
Volume of cylinder:
Vc=π(2)2(54)=216π cm3
Number of spheres:
Number=VcVs=216π4.5π=48
∴ The required number of spheres = 48.
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