Find the Ratio of Its Diameter to Its Height :

The curved surface are of a cylindrical pillar is 176 m² and its volume is 616 m³. Find the ratio of its diameter to its height.

  1. 7:2
  2. 7:3
  3. 3:7
  4. 2:11
Anurag Mishra Professor Asked on 24th November 2015 in Maths.
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1 Answer(s)

Answer is (1) 7:2

Explanation:-
The curved surface area of a cylinder = 2π r h
Then , 2π r h = 176
r h= 176 x 7/22 x 2
r h = 4 x 7
r h = 28 cm
h = 28/r          ……………………… (1)

Formula –
The volume of a cylinder = π r² h

The, π r² h = 616
r² h = 616 x 7/22
r² h = 28 x 7
r² h = 196 cm

From equation (1), h = 28/r
r² (28/r) = 196
28 r = 196
r = 196 /28
r = 7 cm
diameter = 2 x r
diameter = 2 x 7
= 14 cm

Put the value of r = 7 cm in equation (1),
Then, h = 28/4
h = 4 cm

Then, the ratio of diameter and height = 14/4
7: 2

Hence, the answer is (1) 7: 2.

Monis Rasool Professor Answered on 26th November 2015.
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