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Question
Choose the correct answer of the following question:
If the height of a bucket in the shape of frustum of a cone is 16 cm and the diameters of its two circular ends are 40 cm and 16 cm, then its slant height is
Solution
We have,
Height of the frustum , h = 16 cm,
Radii of the circular ends, `"R" = 40/2 = 20 "cm" and "r" = 16/2 = 8 "cm"`
Now,
The slant height of the furstum,`l = sqrt(("R" - r)^2+ "h"^2)`
`=sqrt((20-8)^2 + 16^2)`
`=sqrt(12^2+16^2)`
`=sqrt(144+256)`
`=sqrt(400)`
`=20 "cm"`
Henc, the correct answer is option (a).
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