Question

the ratio of the radius and hieght of a right circular cylender is 4:7 if it's volume is 44 cm find its radius​

Answer 1

Answer:

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Step-by-step explanation:

r : h = 4 : 7

r = 4k             h = 7k

V = πr²h

44 = 22/7 * 4k * 4k * 7k

44 * 7/22 = 112k³

14 = 112k³

k³ = 1/8

k = 1/2

r = 4k

⇒ r = 4*1/2

       = 2cm

Answer 2

Answer:

2 cm

Step-by-step explanation:

GIVEN THAT :

Ratio of radius and height of a right circular cylinder is - 4 : 7

Volume of cylinder = 44 cm³

TO FIND :

Radius of the cylinder

SOLUTION :

Let radius ( r ) be 4x cm

Let height ( h ) be 7x cm

Now, we know :

Volume of cylinder = πr²h

Putting the values in the above equation, we get :

=> 22/7 × ( 4x )² × 7x = 44

=> 1/7 × 16x² × 7x = 2

=> 16x³ = 2

=> x³ = 1/8

=> x = 1/2 cm

Therefore,

Radius = 4x = 2 cm

ANS) The radius of the cylinder is 2 cm

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