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Question
If the radii of the ends of a bucket are 5 cm and 15 cm and it is 24 cm high, then its surface area is
Options
1815.3 cm2
1711.3 cm2
2025.3cm2
2360 cm2
Solution
1711.3 cm2
Let R and r be the radii of the top and base of the bucket, respectively, and let h and l be its height and slant height.
Then,
R = 15 cm , r = 5 cm , h = cm
`"l"=sqrt("h"^2 + ("R" - r)^2)`
`=sqrt((24)^2 + (15 - 5)^2)
`=sqrt(576+100)`
`=sqrt(676)`
= 26 cm
surface area of the bucket` = pi["r"^2 + l ("R" + "r")]`
`= 3.14xx(5^2 + 26(15+5))`
`= (3.14xx(26xx20+25)) "cm"^2`
`= 1711.3 "cm"^2`
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