Question

the radius and height of a cylinder are in 5:7 and it's curved surface area is 5500 Sq cm. find radius and height​

Answer 1

Answer:

Radius =25cm height =35cm

Step-by-step explanation:

Curved surface area of cylinder=2¶rh

Let radius =5x

And height =7x

CSA=5500

2*22/7*5x*7x=5500

5xx=125

xx=25

x=5

Radius =5*5=25

Height =5*7=35

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Answer 2

Solution!!

Given that the radius and height of a cylinder are in the ratio 5:7 and the curved surface area of the cylinder is equal to 5500 cm². We have to calculate the radius and the height of the cylinder.

Let the radius of the cylinder be 5x and the height of the cylinder be 7x.

CSA of a cylinder = 2πrh

Here:-

CSA → Curved Surface Area

r → Radius of the cylinder

h → Height of the cylinder

5500 cm² = 2 × 22/7 × 5x × 7x

5500 cm² = 44/7 × 35x²

5500 cm² × 7/44 = 35x²

125 cm² × 7 = 35x²

875 cm² = 35x²

x² = 875 cm² ÷ 35

x² = 25 cm²

x = 5 cm

Radius = 5x

Radius = 5(5 cm)

Radius = 25 cm

Height = 7x

Height = 7(5 cm)

Height = 35 cm

Therefore, the radius and height of the cylinder are 25 cm and 35 cm, respectively.