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Question
The volume of a solid cylinder is 7700cm3. Find its height and total surface area if the diameter of its base is 35cm.
Solution
Volume of cylinder = 7700cm3
Diameter of base = 35cm
∴ Radius (r) = 17.5cm
Let h be the height of the cylinder
Volume = 7700
π x r2 x h = 7700
`(22)/(7) xx 17.5^2 xx "h"` = 7700
962.5h = 7700
h = `(7700)/(962.5) xx (10)/(10)`
h = `(77000)/(9625)`
h = 8cm
Now,
T.S.A. of cylinder
= (2 x π x r x h) + (2 x π x r2)
= `(2 xx (22)/(7) xx 17.5 xx 8) + (2 xx (22)/(7) xx 17.5^2)`
= 880 + 1925
= 2805cm2.
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