Question

the CSA of cylinder is 264m² and it's volume is 924 m³.find the ratio of its diameter and it's height​

Answer 1

Solution :-

Let us Assume that, Diameter of cylinder is D and height of cylinder is H .

Than,

→ CSA of cylinder = 2 * π * radius * Height

Putting values we get,

→ 2 * (22/7) * (D/2) * H = 264

→ 22 * D * H = 264 * 7

→ D * H = 12 * 7

→ DH = 84 ----------- Eqn(1)

Now,

→ Volume of cylinder = π * (radius)² * Height

Putting values we get,

→ (22/7) * (D/2)² * H = 924

→ 11 * D² * H = 924 * 2 * 7

→ D² * H = 84 * 14

→ (DH) * D = 84 * 14

Putting value of Eqn(1) now,

→ 84 * D = 84 * 14

→ D = 14 .

Putting Value of D in Eqn(1) again,

→ 14 * H = 84

→ H = 6 .

Therefore,

→ Ratio of Diameter : Height = 14 : 6 = 7 : 3 (Ans.)

Answer 2

Answer:

7:3

Step-by-step explanation:

CSA of cylinder = 2πrh

2πrh=264

rh = 264 x 7/22x2

rh= 42

h=42/r

volume of cylinder = πr²h

πr²h = 924

22/7 x r x r x 42/r= 924

r = 924 x 7 /(22 x 42)

r = 7

h =42/7=6

diameter = 14

diameter : height = 14:6

7:3

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