Two cylinders have the same volume, but the radius of

Solution

Let the radius of the first cylinder be R. Now, the radius of the base of the second cylinder =R-Rx 20% =R-0.2R =0.8R Let height of the first and second cylinder be H ₁ and H ₂ respectively. According to the question, π x R² x H ₁ = 1 x (0.8R)² x H2 R² x H ₁ = 0.64R² x H2 H ₁ = 0.64H2 Now, % greater = (H2- 0.64H2)/0.64H2 × 100% =0.36/0.64 × 100% =56.25% 56.25% greater the height of the second cylinder should be in comparison to the height of the first.