Two sheet sheets each of length `a_1` and breadth `a_2` are used to prepare the surfaces of two right circular cylinders - one having volume `v_1` and height `a_2` and other having volume `v_2` and height `a_1dot` Then, (a) `v_1=v_2` (b) `a_1v_1=a_2v_2` (c) `a_2v_1=a_1v_2` (d) `(v_1)/(a_1)=(v_2)/(a_2)`

Explanation

correct option is(c) `a_2v_1=a_1v_2`
`v_1=pir^2a_2`
where `r=a_1/(2pi)`
`v_1=a_1^2a_2/(4pi)`
similarly
`v_2=a_2^2a_1/(4pi)`
now dividing `v_1`by `v_2`
we get ,
`v_1/v_2=a_1/a_2`
`a_2v_1=a_1v_2`