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Mensuration Practice Test 6
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© examsnet.com
Question : 1
Total: 40
The capacities of two hemispherical bowls are 6.4 litres and 21.6 litres respectively. Then the ratio of their internal curved surface areas will be:
4 : 9
√
2
:
√
3
2 : 3
16 : 81
Validate
Solution:
Let the radius of the smaller hemisphere = r
Radius of the larger hemisphere = R
Volume
of
the
smaller
hemisphere
Volume
of
the
larger
hemisphere
=
2
3
π
r
3
2
3
π
R
3
=
6.4
×
1000
21.6
×
1000
=
r
3
R
3
=
4
6
=
r
R
=
2
3
=
r
R
Inner curved surface area
=
smaller
hemisphere
inner
curved
surface
area
=
2
π
r
2
2
π
R
2
of larger hemisphere
=
(
2
)
3
(
3
)
2
=
4
9
So, required ratio = 4 : 9
© examsnet.com
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