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
Answers
Answered by
3
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
Answered by
20
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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