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Question
The volume of a right circular cylinder with its height equal to the radius is `25"1"/7` cm3. Find the height of the cylinder.
Solution
We have,
Height = Base radius i.e. h = r
As,
Volume of the cylinder = `25"1"/7 "cm"^3`
`=> 22/7xx"h"^2xx"h" = 176/7`
`=>22/7 xx "h"^2xx"h" = 176/7`
`=> "h"^3 = (176xx7)/(7xx22)`
`=> "h"^3 = 8`
`=> "h" = root(3)(8)`
∴ h = 2 cm
so, the height of the cylinder is 2 cm.
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