The curved surface area of a cylinder is 264 m2 and its volume is 924 m3. Find the ratio of its height to the diameter .
Suppose r and h be the radius and the height of the cylinder respectively.
So, curved surface area of cylinder =
And volume of cylinder =
Dividing (ii) by (i) we get;
So, radius of cylinder is 7 m.
Then its diameter = = 14 m
Putting the value of r in (i) we get;
So height of cylinder is 6 m.
so the ratio of height to the diameter =
Therefore the ratio of height to the diameter is 3 : 7.
So, curved surface area of cylinder =
And volume of cylinder =
Dividing (ii) by (i) we get;
So, radius of cylinder is 7 m.
Then its diameter = = 14 m
Putting the value of r in (i) we get;
So height of cylinder is 6 m.
so the ratio of height to the diameter =
Therefore the ratio of height to the diameter is 3 : 7.