The diameter of a metallic sphere is 6 cm The sphere is melted and drawn into a wire of uniform cros...

Question

The diameter of a metallic sphere is 6 cm The sphere is melted and drawn into a wire of uniform crosssection If the length of the wire is 36 m find its radius

Accepted Answer

Solution Even if the new shape may be different when we change one solid shape into another its volume stays the same Given diameter of the metallic sphere 6 cm Radius of the sphere r 62 3 cm Volume of the sphere V 43 rsup3sup 43 x3sup3sup 4 x 9 36 cmsup3sup Length of the wire h 36 m 3600 cm Since the sphere is melted and drawn into a wire volume remains the same Volume of the wire rsup2suph 36 rsup2sup3600 36 rsup2sup 1100 r 110 01 cm 1 mm Hence the radius of the wire is 1 mm

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