The radii of the circular ends of the frustum of a cone of height 45 cm  are 28cm and 7cm. Find its volume and curved surface area.

# The radii of the circular ends of the frustum of a cone of height  are 28cm and 7cm. Find its volume and curved surface area.

1. A
48510   ,
2. B
58510   ,
3. C
48510   ,
4. D
58510   ,

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### Solution:

Given,
Height of the frustum of a cone = 45cm
Radii of the frustum of a cone are 28cm and 7cm
We know that the volume of the frustum of a cone of lower radius, r, upper radius, R, and height, h is given by
We get,

Now, the curved surface area of a frustum of cone of upper radius, r, lower radius, R, slant height, l and height, h is given by   where  .
Substituting r = 7, R = 28 and h = 45 in  .
We get,
Therefore, the slant height of the frustum of a cone is   cm.
We get,

Thus, the volume of the frustum of a cone is 48510   and the curved area of the frustum of a cone is  .
Hence, the correct option is 1.

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