The volume of this cone is 2,200.512 cubic yards. What is the radius of this cone?

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

14.6 yd

r ≈
yards

1 answer

The volume \( V \) of a cone is given by the formula:

\[ V = \frac{1}{3} \pi r^2 h \]

where:

  • \( V \) is the volume
  • \( r \) is the radius
  • \( h \) is the height of the cone

Given that the volume \( V = 2200.512 \) cubic yards, and using \( \pi \approx 3.14 \), we can rearrange this formula to find the radius \( r \):

\[ r^2 = \frac{3V}{\pi h} \]

To find the radius, we need the height \( h \). However, we currently do not have a value for \( h \). The problem does not specify \( h \), so without that value, we cannot calculate \( r \) exactly.

If we had a specific height, we could plug that value into the formula, calculate \( r \), and then round it to the nearest hundredth.

Could you provide the height \( h \) of the cone to continue?