cylinder and cone have same base and height. if volume of cylinder is 1500cm³ then the
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Step-by-step explanation:
Let the radius of the common base be r.
Let h1 and h2 be the heights of the cone and cylinder respectively
Then, volume of the cone =31πr2h1
Volume of the cylinder πr2h2
It is given that the cone and the cylinder are of the same volume.
∴31πr2h1=πr2h2
⇒31h1=h2
⇒h2h1=13
⇒h1:h2=3:1
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