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Surface Areas and Volumes Ex-13.3 Interview Questions Answers

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.

Answer 1 :

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.

Answer 2 :

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.

Answer 3 :

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.

Answer 4 :

Question 5 :

A container shapedlike a right circular cylinder having diameter 12 cm and height 15 cm is fullof ice cream. 

Answer 5 : The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.

Question 6 :

How many silvercoins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form acuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?

Answer 6 :