Question

An empty graduated cylinder has a mass of 50 grams. The cylinder has a mass of 120

grams when 30 milliliters of water is poured in. If a rock is added to the graduated
cylinder, then water level rises to 75 milliliters and the mass is now 250 grams. Determine
the density of the rock.

Answer 1

Answer and Step-by-step explanation:

`We're~ asked ~to ~find ~the ~density ~of~ the ~rock, ~given ~some ~mass~ and~ volume \\information.`

`We're ~given ~that~ the~ mass ~of ~the ~system ~before~ the ~rock ~was~ added\\ was ~120g. ~The~ mass~ after~the~ rock~ was~ added ~was~ 250 g,~ so ~the~ rock's\\ mass ~is:`

`m_r_o_c_k=m_f_i_n_a_l-m_i_n_t_i_a_l=250g-120g=130g`

`The~ initial~ volume ~of ~water~ in~ the~ graduated ~cylinder~ was~ 30mL,~ and~\\\ the~ volume ~after~ the ~rock~ was~ added ~read ~75mL, ~so ~the~ rock's~ volume~is:`

`V_r_o_c_k=Vf_i_n_a_l-V_i_n_t_i_a_l=75mL-30mL=45mL`

`\bold{The ~equation ~for~ the ~density~ of~ the~ rock ~is:}`

`\boxed{~~Density=(mass)/(volume) ~~}`

`\bold{And~ so~ we~ have:}`

`Density=(130g)/(45mL) =\boxed{2.9g/mL=2.9g/cm^3}`

Answer 2

2.9g/ml

Explanation:

mass of the rock:130g

volume of the rock:45ml

d=m/v

d=130g/45ml

d=2.9g/ml