Mensuration Practice Test 6

Question : 5 of 40

Marks: +1, -0

A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls is
(Take π = 22/7) :

8000
400
800
125

Validate

Solution:

Volume of the spherical lead ball = 10 cm.

4/3 πr^3

4/3 π(10)^3

Radius = 5 mm = 0.5 cm
Volume of the small lead balls =

4/3 π(0.5)^3

Number of balls =

{4/3 π(10)^3}/{4/3 π(0.5)^3}

{1000}/(0.125)

= 8,000 balls

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