# Mensuration-59

### From Homeworkwiki

** Find the length of the wire of diameter 2/5 cm that can be drawn from a solid sphere of radius 9 cm.**

**Solution:** Volume of the sphere = 4/3 Π r^{3} = 4/3 x Π x 9^{3} = 81 x 12 Π cm^{3}

The wire is in cylindrical form, Let its length be L cm.

Its radius = 1/2 (2/5) = 1/5 cm

Since, Volume of the wire = Volume of the sphere

Therefore, Π x (1/5)^{2} x L = 81 x 12 Π

Implies, L = 81 x 12 x 25 cm = 24300 cm = 243 m

Hence, the length of the wire is 243 m