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Byju's Answer
Standard X
Mathematics
Cylinder and Its Surface Area
If the radii ...
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 cm
2
(b) 1711.3 cm
2
(c) 2025.3cm
2
(d) 2360 cm
2
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Solution
(b) 1711.3 cm
2
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
=
h
2
+
R
-
r
2
=
24
2
+
15
-
5
2
=
576
+
100
=
676
=
26
cm
Surface area of the bucket
=
π
r
2
+
l
R
+
r
=
3
.
14
×
5
2
+
26
15
+
5
=
3
.
14
×
26
×
20
+
25
cm
2
=
1711
.
3
cm
2
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