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NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.7 β Part 3
Q-6 The volume of a right circular cone is . If the diameter of the base is , find
- Height of the cone
- Slant height of the cone
- Curved surface area of the cone
Solution:
I. Diameter of the base of the cone
Therefore radius ()
Let the height of the cone be
- Now, volume of the cone =
II. Radius , Height , Let the slant height of the cone be , then
III. Given,
- Radius
- Slant height
Therefore, curved surface area
Q-7 A right triangle with sides , and is revolved about the side . Find the volume of the solid so obtained.
Solution:
Note than when right triangle is revolved, we get a cone with the same radius as the base of the right triangle.
Height is .
In triangle
- Base is
- Height is .
Cone so obtained has radius r = 5 cm and height 12 cm. Its volume,