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14. Surface Areas and Volumes
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Q2 of 44 Page 15

A drinking glass is in the shape of a frustum of a cone of height 14cm. The diameters of its two circular ends are 4cm and 2cm. Find the capacity of the glass.


Given: Height of frustum = 14cm


Diameter of 1st circular end = 4cm


So, radius (R) = 2cm


Diameter of 2nd circular end = 2cm


So, radius (r) = 1cm


Capacity of the glass = Volume of frustum






= 102.66 cm3


Hence, the volume of glass = 102.66cm3


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11

A cylindrical container is filled with ice-cream. Its diameter is 12cm and height is 15cm. The whole ice-cream is distributed among 10 children in equal cones having hemispherical tops. If the height of the conical portion is twice the diameter of its base, find the diameter of the ice-cream cone.

1

The radii of the ends of a frustum of a cone 45 cm high are 28cm and 7cm. Find its volume, the curved surface area. [Take π=22/7]

3

The radii of the circular ends of a solid frustum of a cone are 33 cm and 27cm, and its slant height is 10cm. Find its capacity and total surface area. [Take π=22/7]

4

The perimeters of the ends of the frustum of a cone are 96 cm and 68 cm. If the height of the frustum be 20 cm, find its radii, slant height, volume and total surface. [Take π=22/7]

Questions · 44
14. Surface Areas and Volumes
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