# Question 781db

Mar 19, 2015

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"#