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Volumes Practice Test 3
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© examsnet.com
Question : 9
Total: 40
A right circular cylinder and right cone have equal bases and equal heights. If their curved surface area in the ratio of 8 : 5, determine the ratio of the radius of the base to the height of either of them.
1 : 2
2 : 3
3 : 4
4 : 5
Validate
Solution:
Here,
2
π
r
h
π
r
√
r
2
+
h
2
=
8
5
⇒
h
2
r
2
+
h
2
=
16
25
⇒
25
h
2
=
16
r
2
+
16
h
2
⇒
16
r
2
=
9
h
2
⇒
r
2
h
2
=
9
16
∴
r
h
=
3
4
Hence, required ratio = 3 : 4
© examsnet.com
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