NCERT Solutions 10th Maths Chapter 13 Surface Areas and Volumes Exercise 13.3

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Exercise 13.3
1.A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.
Solution:
Radius of cylinder = 6 cm
Radius of sphere = 4.2 cm

2.Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.
Solution:
Let the radius of resulting sphere be r cm. Then Volume of resulting sphere = Volume of first small sphere + Volume of third small sphere

3.A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.
Solution:
Volume of earth taken out of all well