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# Surface Areas and Volumes Ex-13.3 Interview Questions Answers

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Question 1 :

A metallic sphere ofradius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm.Find the height of the cylinder.

It is given that radius of the sphere (R) =4.2 cm

Also, Radius of cylinder (r) = 6 cm

Now, let height of cylinder = h

It is given that the sphere is melted into acylinder.

So, Volume of Sphere = Volume of Cylinder

(4/3)×π×R= π×r2×h.

h = 2.74 cm

Question 2 :

Metallic spheres ofradii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solidsphere. Find the radius of the resulting sphere.

Question 3 :

A 20 m deep wellwith diameter 7 m is dug and the earth from digging is evenly spread out toform a platform 22 m by 14 m. Find the height of the platform.

Question 4 :

A well ofdiameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenlyall around it in the shape of a circular ring of width 4 m to form anembankment. Find the height of the embankment.