Question

Please HELPPPPPPPPPPPPPPPPPPPPPPP

Answer 1

`\mathrm{A.\;\;\boxed{V = (m)/(D)}}\\\\\\\\\mathrm{B.\;\;\boxed{8.8496\;cm^3}}`

Explanation:

Object density formula is

`D = \frac{m}V}\\`

with the variables defined as in the question

A.

• Multiply both sides by V:
  
  `DV = m\\\\`
• Divide by D both sides:
  
  `V = (m)/(D)`
• This is V expressed in terms of other variables in the formula

B.

• For osmium, we have D = 22.6 gm/cm³
• We are given the mass as 200 gm, so m = 200
• Plug these values into the equation to get the volume of 200gms of osmium
  
  `V = (m)/(D)\\\\V = (200\;g)/(22.6\;g/cm^3)\\\\V = 8.8496\;cm^3 \textrm{ (rounded to 4 decimal places)}`