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What is the volume of the first container the bottom is 6inch and the height is 8inch

What is the volume of the first container the bottom is 6inch and the height is 8inch-example-1

1 Answer

5 votes

First: 226.19 in³

Second: 176.71 in³

1) Considering that these containers are cylinders we can find the volume by using this formula:


\begin{gathered} V_{\text{cylinder}}=\pi\cdot r^2\cdot h \\ \end{gathered}

2) Plugging the red one's data. Considering that 6, and 5 inches refer to the Diameter, then D=2r R= D/2 then the radi of those are


\begin{gathered} V_{\text{RED}}=\pi\cdot r^2\cdot h \\ V_{\operatorname{Re}d}=\pi\cdot(3)^2\cdot8 \\ V_{\text{red}}=72\pi\text{ }\approx226.19in^3 \\ \\ V_{\text{BLACK}}=\pi\cdot((5)/(2))^2\cdot9 \\ V_{\text{BLACK}}=(225)/(4)\pi\text{ in³ }\approx176.71in^{^(3)} \end{gathered}

3) Hence, the answer is The Volume of the First container is approximately 226.19 in ³ and the Second one is approximately 176.71 in³

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