If height of two cylinders are equal and their radii are in ratio of their volumes 7:5 then ratio of their volumes is
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Answer:
49:25
Step-by-step explanation:
By the formula
v =
v = pi × 7^2h/pi × 5^2h
v = 49pi × h/25 pi × h
( cancellation of pi × h from both)
v = 49/25
ratio = 49:25
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Given
- Height of 2 cylinders are equal and their radi are of the ratio 7:5
To Find
- Ratio of their volume?
Steps
Let the radii be 7r, 5r of two Cylinder.
Let the height be h and h.
Then, Using Formula of Volume
Volume = πr²h
thus, according to the question
Volume = πr²h /πr²h
Volume = π×(7r)² × (h) / π ×(5r)² × h
Volume. = 49r²× h/25r²× h
Volume = 49/25
Therefore, the ratio of their volume is 49:25
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