Question

a metallic sphere of radius 8.4cm is melted and recast into the shape of cylinder of radius 4cm.Show that the height of cylinder is 49.4cm
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Answer 1

Answer:

l

vol of cylinder(x) = vol of sphere

therefore.

x = πR²h = 4/3 πr³

4²h = 4/3 8.4×8.4×8.4

h = 8.4×8.4×8.4×4/3×16 = 282.24/48 = 49.39 CM answer

hope it helps

Answer 2

Height of cylinder is 49.4 cm.

Step-by-step explanation:

Since we have given that

Radius of sphere = 8.4 cm

Radius of cylinder = 4 cm

Since it is melted and recast into the shape of cylinder of radius 4 cm.

So, Volume of sphere = volume of cylinder

So, it becomes,

$\dfrac{4}{3}\pi r_1^3=\pi r_2^2h\\\\\dfrac{4}{3}\times 8.4\times 8.4\times 8.4=4\times 4\times h\\\\4\times 2.8\times 8.4\times 8.4=16\times h\\\\49.39=h\\\\h=49.4\ cm$

Hence, proved.

# learn more:

A Metallic sphere of radius 8.4cm is melted and recost into shape of a cylinder of radius=4cm.show that the height of cylinder is 49.4cm​

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