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Byju's Answer
Standard X
Mathematics
Volume of a Frustum
The circular ...
Question
The circular ends of a bucket are of radii 35 cm and 14 cm and the height of the bucket is 40 cm. Its volume is
(a) 60060 cm
3
(b) 80080 cm
3
(c) 70040 cm
3
(d) 80160 cm
3
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Solution
(b) 80080 cm
3
Let R and r be the radii of the top and base of the bucket, respectively, and let h be its height.
Then,
R
=
35
cm
,
r
=
14
cm
,
h
=
40
cm
Volume of the bucket = Volume of the frustum of the cone
=
1
3
π
h
R
2
+
r
2
+
R
r
cm
3
=
1
3
×
22
7
×
40
×
35
2
+
14
2
+
35
×
14
cm
3
=
880
21
×
1911
cm
3
=
80080
cm
3
Hence, the volume of the bucket is
80080
cm
3
.
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