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12. Surface Areas and Volumes
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Q7 of 62 Page 142

The curved surface area of a frustum of a cone is where and r2 are the radii of the two ends of the frustum and is the vertical height.

False

We know that,


Curved surface area of frustum = πl(r1 + r2)


Where, r1 and r2 are the radii of two ends (r1 > r2)


And l = slant height and



[ In the statement, formula for calculating slant height is incorrect]


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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 figure is

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.

1

Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube. Find the edge of the cube so formed.

Questions · 62
12. Surface Areas and Volumes
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