Question

volume of cylinder is 3960cm3 . its lsa is 1320cm2 find the radius of the base and height of the cyilinder​

Answer 1

The curved surface area of the cylinder is 2πrh:

but it is given that c.s.a of cylinder is 1320 cm^2:

therefore:: 

2πrh = 1320

2×22/7×rh = 1320

h = 1320×7/22×1/2

h = 210/r -------------------- (i)

then the volume of the cylinder is πr²h

but it is given that volume of cylinder is 3960 cm^3.

therefore::

πr²h = 3960

22/7×r²×210/r =3960

r²/r = 3960×7/22×210

r = 6cm.

Now, putting this value of r in equation (i), we get::

h = 210/r

= 210/6

= 35 cm.

Hence, the radius is 6 cm and height is 35 cm .

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I hope it will helps you friend