Question

If diameter of sphere is 8cm it is melted and drawn into.wire of.daimeter.3mm the.length.of wire.is

Answer 1

d of wire = 0.3cm
r of wire = 0.3/2
r of sphere = 4cm
vol. of sphere = vol of wire
4/3πr3 = πr2h
4/3×4×4×4= 0.3/2×0.3/2× h
h = 4×4×4×4×2×2/3×0.3×0.3
h = 15.36cm

Answer 2

Dear Student,

◆ Answer -

948 cm

● Explaination -

# Given -

R = 8/2 cm = 4 cm

r = 3/2 mm = 0.15 cm

# Solution -

Given that sphere is melted into wire.

Volume of sphere = Volume of wire

4/3 πR^3 = πr^2.h

4 R^3 = 3 r^2.h

4 × 4^3 = 3 × 0.3^2 × h

256 = 0.27 h

h = 256 / 0.27

h = 948 cm

Hence, length of wire is 948 cm.

Thanks dear. Hope this helps you...