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A cylinder has a height of 17 inches and a diameter of 34 inches. What is its volume? Use pi approx 3.14 and round your answer to the nearest hundredth. square cubic inches

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A cylinder has a height of 17 inches and a diameter of 34 inches. What is its volume? Use pi approx 
3.14 and round your answer to the nearest hundredth.
square  cubic inches

A cylinder has a height of 17 inches and a diameter of 34 inches. What is its volume? Use pi approx 3.14 and round your answer to the nearest hundredth. square cubic inches

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ConstanceProfessional · Tutor for 6 years

Answer

The volume of the cylinder is approximately 15511.48 cubic inches.

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## Step 1<br />The volume \( V \) of a cylinder is given by the formula:<br />### \( V = \pi r^2 h \)<br />where \( r \) is the radius of the base and \( h \) is the height of the cylinder.<br /><br />## Step 2<br />In the given problem, the height \( h \) is 17 inches and the diameter of the base is 34 inches. However, the formula requires the radius, not the diameter.<br /><br />## Step 3<br />The radius \( r \) is half of the diameter. So, we divide the diameter by 2 to get the radius.<br />### \( r = \frac{diameter}{2} = \frac{34}{2} = 17 \) inches<br /><br />## Step 4<br />Now, we can substitute the values of \( r \) and \( h \) into the volume formula. Using the approximation \( \pi \approx 3.14 \), we get:<br />### \( V = 3.14 \times (17)^2 \times 17 \)<br /><br />## Step 5<br />Calculate the volume by performing the multiplication operation.
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