Problem

6. Hugh estimates the volume of a cylindrical jar that has a diameter of 4 in. and a height of $5 \mathrm{in}$. to be $64 \pi$ in. ${ }^{3}$. He used

Answer

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Answer

\(\boxed{\text{Final Answer: The actual volume of the cylindrical jar is approximately 62.83 cubic inches}}\)

Steps

Step 1 :Given a cylindrical jar with diameter 4 in and height 5 in, first find the radius: \(r = \frac{d}{2} = \frac{4}{2} = 2\) in

Step 2 :Next, calculate the volume using the formula: \(V = \pi r^2 h = \pi (2)^2 (5) = 20\pi \approx 62.83\) in^3

Step 3 :\(\boxed{\text{Final Answer: The actual volume of the cylindrical jar is approximately 62.83 cubic inches}}\)

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