What is the volume of this cone? Use \pi \approx 3.14

Tomasettiq3 2021-11-29 Answered
What is the volume of this cone?
Use \(\displaystyle\pi\approx{3.14}\) and round your answer to the nearest hundredth.
What is the volume of this cylinder?
Use \(\displaystyle\pi\approx{3.14}\) and round your answer to the nearest hundredth.
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Expert Answer

Momp1989
Answered 2021-11-30 Author has 7919 answers
Volume of the cone \(\displaystyle{v}={\frac{{{1}}}{{{3}}}}\pi{r}^{{{2}}}{h}\)
\(\displaystyle{r}={13}{f}{t}\)
\(\displaystyle{h}={16}{f}{t}\)
\(\displaystyle{v}={\frac{{{1}}}{{{3}}}}\times{\left({3.14}\right)}\times{\left({13}\right)}^{{{2}}}\times{\left({16}\right)}\)
\(\displaystyle{v}={2830.19}\) cubic ft
volume of the cylinder \(\displaystyle=\pi{r}^{{{2}}}{h}\)
\(\displaystyle{r}={\frac{{{d}{i}{a}{m}{e}{t}{e}{r}}}{{{2}}}}={\frac{{{8}{c}{m}}}{{{2}}}}={4}{c}{m}\)
\(\displaystyle{h}={3.3}{c}{m}\)
\(\displaystyle{v}={\left({3.14}\right)}{\left({4}\right)}^{{{2}}}{\left({3.3}\right)}\)
\(\displaystyle={165.79}\) cubic cm
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