Two cylinders have equal volumes, radii are in the ratio 2:3. find the ratio of their height.
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EXPLANATION.
Two cylinders have equal volumes.
Radii are in the ratio 2 : 3.
As we know that,
Formula of :
Volume of a cylinder : πr²h.
Using this formula in the equation, we get.
⇒ πr²h = πr²H.
⇒ r²h = r²H.
⇒ (2r)²h = (3r)²H.
⇒ 4r²h = 9r²H.
⇒ 4h = 9H.
⇒ h/H = 9/4.
⇒ h : H = 9 : 4.
Ratio of their heights = 9 : 4.
MORE INFORMATION.
(1) Volume of cuboid = L x B x H.
(2) Volume of cube = a³.
(3) Volume of cylinder = πr²h.
(4) Volume of cone = 1/3πr²h.
(5) Volume of hemisphere = 2/3πr³.
(6) Volume of sphere = 4/3πr³.
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