Two steel sheets each of length a 1 and breadth a 2 are used to prepare the surfaces of two right circular cylinder —one having volume v 1 and height a 2 and other having volume v 2 and height a 1. Then,

Question

Two steel sheets each of length a 1 and breadth a 2 are used to prepare the surfaces of two right circular cylinder &#x2014;one having volume v 1 and height a 2 and other having volume v 2 and height a 1. Then,

Philoid · Accepted Answer

In case (i)

2πr= a₁

= r = a₁/2π

= h₁ = a₂

So, v₁ = πr²h = π×(a₁/2π)²h = a₁²a₂/4π…………..(1)

In case (ii)

2πr = a₂

= r = a₂/2π and h = a₁

So, v₂ = πr²h = π× (a₂/4π)²a₁ = a₂²a₁/4π……………….(2)

From equations 1 and 2 …

= a₂v₁ = a₁v₂

= v_1/a₁ = v₂/a₂ ( so both options (B) and (D) are correct.)

Two steel sheets each of length a1 and breadth a2 are used to prepare the surfaces of two right circular cylinder —one having volume v1 and height a2 and other having volume v2 and height a1. Then,

Two steel sheets each of length a₁ and breadth a₂ are used to prepare the surfaces of two right circular cylinder —one having volume v₁ and height a₂ and other having volume v₂ and height a_1. Then,