CBSE Class 10-Mathematics: Chapter – 13 Surface Areas and Volumes Part 21 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 21:

A medicine capsule is in the shape of a cylinder with two hemispheres stuck it each of its ends. The length of the entire capsule is and the diameter of the capsule is 5 . Find its surface area.

Answer:

Uniform thickness of cylinder

The length of capsule

Length of cylindrical portion of capsule

Total surface area

Question 22:

A pen stand made of wood is in the shape of a cuboid with four conical depression to hold pens. The dimensions of the cuboid are by by . The radius of each of the dimensions is and the depth is . Find the volume of the wood in the entire stand.

Answer:

Required volume volume of cuboids [V. of one depression]

Question 23:

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

Answer:

The length of capsule

Length of cylindrical portion of capsule

Total surface area

Question 24:

A spherical glass vessel has a cylindrical neck long, in diameter, the diameter of the spherical part . by measuring the amount of water, it holds, a child finds its volume to be check whether she is correct, taking the above as side measurements.

Answer:

For cylindrical part

For spherical part:

Radius (R)

Volume of glass solid Volume of cylindrical part Volume of the spherical part