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KVPY SA Exam 2012 Question Paper
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© examsnet.com
Question : 13
Total: 80
When a bucket is half full, the weight of the bucket and the water is 10 kg. When the bucket is two-thirds full, the total weight is 11 kg. What is the total weight, in kg, when the bucket is completely full?
12
12
1
2
12
2
3
13
Validate
Solution:
Here weight will be measured in two criteria's weight of bucket w + weight of water (
π
r
2
h
× density) in first case
w
+
π
r
2
h
2
ρ
=
10
in second case
w
+
π
r
2
2
3
h
ρ
=
11
∴
π
r
2
(
2
3
−
1
2
)
h
ρ
=
1
⇒
π
r
2
h
ρ
=
6
Also
w
+
π
r
2
h
ρ
2
=
10
w
+
3
=
10
w
=
7
Hence total weight
=
w
+
π
r
2
h
ρ
=
7
+
6
=
13
© examsnet.com
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