# NCERT Mathematics Class 10 Exemplar Ch 12 Surface Areas and Volumes Part 3 (For CBSE, ICSE, IAS, NET, NRA 2023)

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EXERCISE 12.2

1. Two identical solid hemispheres of equal base radius are stuck together along their bases. The total surface area of the combination is .

2. A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is .

3. A solid cone of radius r and height h is placed over a solid cylinder having same base radius and height as that of a cone. The total surface area of the combined solid is

4. A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is .

5. The volume of the frustum of a cone is , where h is vertical height of the frustum and are the radii of the ends.

6. The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the Fig. 12.7 is .