A cone has a volume 320 cm^3. Find the radius of the base. Round your answer ti the nearest 0.1 cm.
well, v = 1/3 πr^2 h
so, unless you know something about the height, there's no way to pin down the radius. All you know for sure is that
r^3 h = 960/π
Maybe you can fix things and then solve for r. Please don't just come back and say
h=5, so what's r?
Show your work and your answer. If it's wrong, we can show what went astray.
To find the radius of the base of a cone given its volume, you need to use the volume formula of a cone, which is V = (1/3) * π * r^2 * h.
In this case, you are given the volume of the cone, V = 320 cm^3. However, you are not given the height of the cone. In order to proceed, we need to make certain assumptions.
Let's assume that the height of the cone is equal to 1 cm. Now, we can substitute the values into the volume formula and solve for the radius, r.
320 cm^3 = (1/3) * π * r^2 * 1 cm
To isolate r, we can rearrange the equation:
320 cm^3 = (1/3) * π * r^2
Now, we can solve for r:
r^2 = (320 cm^3) * (3/π)
r^2 ≈ 963.4 cm^2
To find r, we can take the square root of both sides:
r ≈ √963.4 cm≈ 31 cm (rounded to the nearest 0.1 cm)
Therefore, the radius of the base of the cone is approximately 31 cm, rounded to the nearest 0.1 cm.