the radius and height of a cylinder are in the ratio of 4:5 and its volume is 2160m. find its daimeter and height
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- Ratio of radius and height of cylinder ( r : h ) = 4 : 5
- Volume of cylinder (V) = 2160m³
- Diameter of cylinder (d) = ?
- Height of cylinder (h) = ?
Let ,
r : h = 4 : 5
r = 4x
h = 5x
As we know,
On Putting value of of x :
•°•Diameter of Cylinder is 16.32m and Height of Cylinder is 10.2m
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AnswEr :
- Ratio of Radius and Height of Cylinder is 4:5.
- Volume of Cylinder is 2160m³
- Find Diameter and Height.
Let the Radius be 4x and Height be 5x.
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• Calculation of Diameter and Height :
⇒ Diameter = 2 × Radius
⇒ Diameter = 2 × ( 4x )
⇒ Diameter = 2 × ( 4 × 2.04 )
⇒ Diameter = 2 × 8.16
⇒ Diameter = 16.32 m
⠀
⇒ Height = ( 5x )
⇒ Height = ( 5 × 2.04 )
⇒ Height = 10.20 m
⠀
Diameter and Height of Cylinder is 16.32m and 10.2m respectively.
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