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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 - Mathematics

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Question

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.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

As the resulting shape will be as in figure,

And the area of base of frustum,

Top of frustum and top of cylinder will not be counted,

As no metal sheet is used there.

So required area will be = curved surface area of frustum + area of base of cylinder + curved surface area of cylinder

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Chapter 12: Surface Areas and Volumes - Exercise 12.2 [Page 143]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 12 Surface Areas and Volumes
Exercise 12.2 | Q 8 | Page 143
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