 # ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.5 in Chapter 17 - Mensuration

The radius of a sphere is 9 cm. It is melted and drawn into a wire of diameter 2 mm. Find the length of the wire in metres.

Solution:

Even if the new shape may be different, when we change one solid shape into another, its volume stays the same.

Radius of the sphere, r = 9 cm

Volume of the sphere, V = (4/3)π r3

= (4/3)π 93

= 12π x81

= 972π cm3

Diameter of the wire = 2 mm

So radius of the wire = 2/2 = 1 mm = 0.1 cm

Since the sphere is melted and drawn into a wire, volume remains the same.

Volume of the wire, π r2h = 972

x 0.12 x h =972

h = 972/0.12

h = 972/0.01

h = 97200 cm

h = 972 m

Hence the length of the wire is 972 m. Related Questions

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