NCERT Mathematics Class 10 Exemplar Ch 12 Surface Areas and Volumes Part 3
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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 .
Answer: False
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 .
Answer: False
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
Answer: False
4. A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is .
Answer: False
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.
Answer: False
6. The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the Fig. 12.7 is .
A Cylindrical Vessel with a Hemispherical Portion
Answer: True
7. The curved surface area of a frustum of a cone is , where , and are the radii of the two ends of the frustum and h is the vertical height.
Answer: False
8. An open metallic bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet. The surface area of the metallic sheet used is equal to curved surface area of frustum of a cone + area of circular base + curved surface area of cylinder
Answer: True