1.

If the ratio of cylinder of height and radius is 5:7 and the curved surface area is 5500 sq.unit then find its radius and height?

Answer»

ANSWER:

Step-by-step explanation:

Given :-

Ratio of height and radius of cylinder = 5 : 7

Curved Surface Area = 5500 SQ. unit

To Find :-

Radius and Height

Formula to be used :-

Curved Surface Area = 2πrh

Solution :-

Putting all the values, we get

2πrh = 5500

⇒  2 × 3.14 × 5x × 7x = 5500

⇒ 220 x²= 5500

⇒  x² = 25

⇒ X = 5

Now, Radius and Height

Radius of cylinder = 5x = 5(5) = 25 cm

Height of cylinder = 7x = 7(5) = 35 cm

Hence, The radius and height of cylinder are 25 cm and 35 cm.


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