Question

Question #781db

Answer 1

The second piece of material has a mass of 34 kg.

The volume of a cylinder is given by the formula

`V = πr^2h`, where `r` is the radius of the cylinder and `h` is its height.

Since both cylinders have the same length, the ratio of their volumes is

`V_2/V_1 = (πr_2^2h)/(πr_1^2h) =(r_2/r_1)^2 = (D_2/D_1)^2 = ((16 cancel("in"))/(9.875 cancel("in")))^2 = 1.602^2 = 2.625`

Both cylinders are made of the same material, so the second cylinder should have 2.625 times the mass of the first.

`m_2 = 2.625 ×m_1= "2.625 × 13 kg" = "34 kg"`