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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
(a) 1815.3 cm2
(b) 1711.3 cm2
(c) 2025.3cm2
(d) 2360 cm2

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Solution

(b) 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=24 cm

l=h2+R-r2
=242+15-52=576+100=676=26 cm

Surface area of the bucket=πr2+lR+r
=3.14×52+2615+5=3.14×26×20+25cm2=1711.3 cm2

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