The volume of this cone is 753.6 cubic yards. What is the radius of this cone?




























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

20 yd

1 answer

To find the radius of the cone given its volume, we can use the formula for the volume of a cone:

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

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

From your information, we have:

  • Volume \( V = 753.6 \) cubic yards
  • \( \pi \approx 3.14 \)

However, we need the height (\( h \)) of the cone to find the radius. Since you haven't provided that, let's assume that somehow we need to express \( r \) in terms of \( h \) or solve it with a height.

If you hypothetically have the height of the cone, the equation can be rearranged to solve for \( r^2 \):

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

Let's say the height \( h \) is given as:

  • If you have the height, just substitute here and calculate \( r \).

If you don't have the height, please provide it to proceed with the calculation for the radius.