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

Question

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

20 yd

Answer 1

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.