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Mensuration Practice Test 10
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© examsnet.com
Question : 7
Total: 40
A cone and a hemisphere stand on equal base and have the same height. The ratio of their whole surfaces is:
√
2
+
1
;
3
√
2
−
1
;
3
√
2
:
3
2 : 3
Validate
Solution:
Let radius and height be same = 2 cm.
Slant height = l =
√
r
2
+
h
2
=
√
2
2
+
2
2
=
√
4
+
4
=
√
8
=
2
√
2
Ratio of their surface areas
=
π
r
(
1
+
r
)
:
3
π
r
2
=
π
.2
(
2
√
2
+
2
)
:
3
π
(
2
)
2
=
4
(
√
2
+
1
)
:
12
=
(
√
2
+
1
)
:
3
© examsnet.com
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