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SBI PO 30 April 2017 Papers
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© examsnet.com
Question : 41
Total: 100
The respective ratio between numerical values of curved surface area and volume of right circular cylinder is 1 : 7.If the respective ratio between the diameter and height of the cylinder is 7 : 5, what is the total surface area of the cylinder?(in
metre
2
)
2992
3172
2882
3576
3992
Validate
Solution:
According to the question,
2
r
h
=
7
5
⇒
r
h
=
7
10
Let, r = 7x metre
h = 10x metre
∴ Curved surface area = 2πrh
Volume of cylinder =
π
r
2
h
∴
2
π
×
7
x
×
10
x
π
×
7
x
×
7
x
×
10
x
=
1
7
⇒ x = 2
∴ r = 14 metre
h = 20 metre
since , Total surface area
= 2πr (r + h)
=
2 ×
22
7
× 14 (14 + 20)
= 2992 square metre
© examsnet.com
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