Aptitude - Volume and Surface Area - Discussion
Discussion Forum : Volume and Surface Area - General Questions (Q.No. 11)
11.
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
Answer: Option
Explanation:
 r2h |
= | 924 |  r = |
 |
924 | x 2 |  |
= 7 m. |
| 2rh |
264 | 264 |
| And, 2rh = 264 h = |
|
264 x | 7 | x | 1 | x | 1 | |
= 6m. |
| 22 | 2 | 7 |
 Required ratio = |
2r | = | 14 | = 7 : 3. |
| h | 6 |
Discussion:
23 comments Page 1 of 3.
Deepika said:
1 decade ago
Can any one help?
Ruksana said:
1 decade ago
Can anyone explain the answer in detail?
Munikrishna said:
1 decade ago
Please explain.
Kris said:
1 decade ago
Given:
Surface area of cylinder(s.a) 2*pi*r*h = 264.
Volume of the cylinder(v) pi*r*r*h = 924.
In order to find radius calculate s.a/v or v/s.a which gives the radius value as 7 m.
In order to find height take s.a formula or v formula and substitute the required values to get the height value.
Surface area of cylinder(s.a) 2*pi*r*h = 264.
Volume of the cylinder(v) pi*r*r*h = 924.
In order to find radius calculate s.a/v or v/s.a which gives the radius value as 7 m.
In order to find height take s.a formula or v formula and substitute the required values to get the height value.
Prithivi said:
1 decade ago
Required ratio = 2r = 14 = 7:3.
How can you write 2r divided by h? h=6.
How can you write 2r divided by h? h=6.
Niraj kumar nirala said:
9 years ago
I didn't get this. Anyone explain this sum clearly?
Avneet said:
9 years ago
The C.S.A of the cylinder is 2φRH.
The volume of a cylinder is φ * r * r * h.
We have to find diameter/height.
So, if we divide them i.e CSA/Volume, This would give us the value of Radius.
=> φ * r * r * h/2 * φ * r * h = 924/264 = 7.
R = 7m.
Now we have to find H.
For H, Take 2*φ * r * h = 264.
Substitute the value of R in CSA(curved surface area),
The value of H is 6.
So, 2r /h = 7/3.
The volume of a cylinder is φ * r * r * h.
We have to find diameter/height.
So, if we divide them i.e CSA/Volume, This would give us the value of Radius.
=> φ * r * r * h/2 * φ * r * h = 924/264 = 7.
R = 7m.
Now we have to find H.
For H, Take 2*φ * r * h = 264.
Substitute the value of R in CSA(curved surface area),
The value of H is 6.
So, 2r /h = 7/3.
Goki said:
9 years ago
Why we are taking 2R?
Onkar Rana said:
9 years ago
What step is taken after first step anyone help me?
Stallion said:
9 years ago
@Goki.
It is simple, see we have to find the ratio of its diameter to its height right and diameter is = 2r.
It is simple, see we have to find the ratio of its diameter to its height right and diameter is = 2r.
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