Q:

A solid cylinder has a radius of 4 cm and a height of 10 cm. The cylinder is made from wood and has a density of 0.6 grams/cm3. What is the mass of the cylinder? Round your answer to the nearest hundredth.

Accepted Solution

A:
For this case we have that by definition:ρ[tex]= \frac {M} {V}[/tex]Where:ρ: It's the densityM: It's the massV: It's the volumeThe volume of a cylinder is given by:[tex]V = \pi * r ^ 2 * h[/tex]Where:A: It's the radioh: It's the heightSo:[tex]V = \pi * 4 ^ 2 * 10\\V = 502.654824574366 \ cm ^ 3[/tex]In addition, they tell us that:ρ [tex]= 0.6 \frac {g} {cm ^ 3}[/tex]We must clear the formula, the mass:M = V * ρ[tex]M = 502.654824574366 * 0.6\\M = 301.5929 \ g[/tex]If we round, we have that the mass of the cylinder is given by:301.59 gramsAnswer:301.59 grams