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

Question

Answer 1

The volume of the cylinder is approximately 15511.48 cubic inches.

Answer 2

## Step 1The volume

of a cylinder is given by the formula:###

where

is the radius of the base and

is the height of the cylinder.## Step 2In the given problem, the height

is 17 inches and the diameter of the base is 34 inches. However, the formula requires the radius, not the diameter.## Step 3The radius

is half of the diameter. So, we divide the diameter by 2 to get the radius.###

inches## Step 4Now, we can substitute the values of

and

into the volume formula. Using the approximation

, we get:### \( V = 3.14 \times (17)^2 \times 17 \)## Step 5Calculate the volume by performing the multiplication operation.

Question