Mensuration Practice Test 8

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Question : 15 of 40

Marks: +1, -0

A solid sphere of radius 1 cm is melted to convert into a wire of length 100 cm. The radius of the wire (using

√3

= 1.732) is:

0.08 cm
0.09 cm
0.16 cm
0.11 cm

Solution:

Volume of the sphere =

{4π(r)^2}/3

=

{4π}/3

Volume of the wire =

πr^2h

=

π(r^2)(100)

{4π}/3

=

πr^2(100)

4/{300}

=

r^2

r^2

=

1/{75}

r =

1/{5 √3}

r =

1/{8.6}

r = 0.11 cm

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