Question

Enter your answer in the provided box.

Carry out the following calculation, paying special attention to significant figures (where 4/3 is exact),
rounding, and units:
4.77 x 10 g
°
g/cm3
cm
(3.1410) (1.9 x 10 cm)
3
01.3
^)

Answer 1

1.65 g/cm³

Step-by-step explanation:

We need to find the value of
`(4.77* 10^7\ g)/((4)/(3)(3.1416)(1.9* 10^2\ cm)^3)`.

So,

`(4.77* 10^7\ g)/((4)/(3)(3.1416)(1.9* 10^2\ cm)^3)\\\\\text{solving 4/3 first}\\\\ =(4.77* 10^7\ g)/(1.34* (3.1416)(1.9* 10^2\ cm)^3)\\\\\\\text{solving}\ 1.9* 10^2\\\\=(4.77* 10^7\ g)/(1.34* (3.1416)* 6859000\ cm^3)\\\\ \text{Now solving denominator}\\=(4.77* 10^7\ g)/(28874634.096\ cm^3)\\\\=1.65\ g/cm^3`

Hence, the answer is 1.65 g/cm³.