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

Question

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

Accepted Answer

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 43 rsup3sup 43 9sup3sup 12 x81 972 cmsup3sup Diameter of the wire 2 mm So radius of the wire 22 1 mm 01 cm Since the sphere is melted and drawn into a wire volume remains the same Volume of the wire rsup2suph 972 x 01sup2sup x h 972 h 97201sup2sup h 972001 h 97200 cm h 972 m Hence the length of the wire is 972 m

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