Mensuration Practice Test 10

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Question : 29 of 40

Marks: +1, -0

Find the curved surface area of the frustum of a cone filled up to the level of 15 cm and radii of both ends are 17 cm and 9 cm.

1,597 $cm^2$
1,389 $cm^2$
1,795 $cm^2$
3,189 $cm^2$

Solution:

l =

√{(R-r)^2+h^2}

l =

√{(17-9)^2+(15)^2}

l =

√{8^2+15^2}

l =

√{64+225}

l =

√{289}

l = 17 cm
Curved surface area = π(R + r)l
=

{22}/7 × 26 × 17

= 1,389

cm^2

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