A brass doorknob has a density of 8.0 grams per cubic centimeter and a

Tammy Fisher 2021-11-20 Answered
A brass doorknob has a density of 8.0 grams per cubic centimeter and a volume of 6.5 cubic centimeters. What is its mass?

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Expert Answer

Provere
Answered 2021-11-21 Author has 1772 answers
Step 1
Volume of sphere:
\(\displaystyle{v}={\frac{{{4}}}{{{3}}}}\) or \(\displaystyle{r}^{{{3}}}\)
where \(\displaystyle{r}=\text{radius of sphere}\)
Step 2
Given diameter of sphere \(\displaystyle{d}={2}{c}{m}\)
radius of sphere
\(\displaystyle{r}={\frac{{{d}}}{{{2}}}}={\frac{{{2}}}{{{2}}}}={1}{c}{m}\)
Now, volume of sphere
\(\displaystyle={\frac{{{4}}}{{{3}}}}\) or \(\displaystyle{r}^{{{3}}}\)
\(\displaystyle={\frac{{{4}}}{{{3}}}}\) or \(\displaystyle{\left({1}\right)}^{{{3}}}\)
\(\displaystyle={\frac{{{4}}}{{{3}}}}\times{3.14}\)
\(\displaystyle={4.186667}\)
Volume of sphere
\(\displaystyle\approx{4.19}\) cubic centimeters.
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