Question

A metallic solid cylinder having diameter 6 cm is melted and recasted in the form of a sphere of
the same radius. Find the total surface area of the cylinder.
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Answer 1

Answer:

Your answer is 42$\pi$

Step-by-step explanation:

Cylinder is converted into sphere means shape has changed, surface area is changed. the thing which remains the same it's volume.

comparing both volumes

cylinder volume = sphere volume

$\pi$r²h = 4/3 $\pi$r³

therefore, h = (4/3)r = (2/3)d

h = 4 cm

cylinder surface area

= 2πrh + πr^2 + πr^2

=24π + 9π + 9π

= 42π

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Answer 2

Answer:

The total surface area of sphere is 42 pi

Step-by-step explanation:

Cylinder volume=Sphere volume

Therefore,h=(4/3)r=(2/3)d

h=4cm

Cylinder surface area =2pi r h + pi r^2 + pi r^2

=24 pi + 9 pi + pi

=42 pi