CBSE Class 10-Mathematics: Chapter – 13 Surface Areas and Volumes Part 23 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 29:

Water flowing at the rate of per hour through a pipe of diameter into a rectangular tank which is and wide. Find the time in which the level of water in the tank will rise by .


Volume of cylinder


Volume of water flowing through the cylindrical pipe in an hour at the rate of

Volume of cuboid

Volume of required quantity of water in the tank

Since of water falls into tank in 1 hour

of water falls into tank in

Question 30:

A solid cylinder of diameter and height is melted and recast into toys with the shape of a right circular cone mounted on a hemisphere of radius . If the height of the boy is , find the number of toys so formed.

A Solid Cylinder of Diameter
A Solid Cylinder of Diameter


4 Mark Questions

Question 1:

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see figure) . The length of the entire capsule is and the diameter of the capsule is . Find its surface area.


Radius of the hemisphere

Let radius

Cylindrical height Total height Diameter of sphere

Surface area of the capsule CSA of cylinder Surface area of the hemisphere

A Medicine Capsule is in the Shape of a Cylinder