Problem

Learn with an example or Watch a video () A cone has a height of 16 yards and a radius of 7 yards. What is its volume? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. cubic yards Submit

Solution

Step 1 :The volume of a cone is given by the formula \( \frac{1}{3}\pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step 2 :In this case, the radius is 7 yards and the height is 16 yards.

Step 3 :We can substitute these values into the formula and calculate the volume.

Step 4 :Let \( r = 7 \), \( h = 16 \), and \( \pi = 3.14 \).

Step 5 :Substituting these values into the formula, we get the volume as approximately 820.5866666666666 cubic yards.

Step 6 :Rounding this to the nearest hundredth, we get the final volume.

Step 7 :Final Answer: The volume of the cone is approximately \( \boxed{820.59} \) cubic yards.

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