The volume of this cone is 65.94 cubic feet. What is the radius of this cone?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
not knowing the height, I cannot say. But,
𝜋/3 r^2 h = 65.94
so fill in h and find r.
how to get 7
To find the radius of a cone, we need to use the formula for the volume of a cone and rearrange it to solve for the radius. The formula for the volume of a cone is:
V = (1/3) π r^2 h,
where V is the volume, π is approximately 3.14, r is the radius, and h is the height of the cone.
In this case, we are given that the volume of the cone is 65.94 cubic feet. So we can write the equation as:
65.94 = (1/3) * 3.14 * r^2 * h.
Since we are only trying to find the radius, we can treat the height (h) as a constant. Let's substitute it with a variable 'C' to simplify the equation:
65.94 = (1/3) * 3.14 * r^2 * C.
Now we can solve for the radius (r):
Multiply both sides of the equation by 3 to get rid of the fraction:
3 * 65.94 = 3 * (1/3) * 3.14 * r^2 * C,
197.82 = 3.14 * r^2 * C.
To isolate the r^2, divide both sides by 3.14 * C:
(197.82) / (3.14 * C) = r^2.
Now, we can take the square root of both sides to find the radius (r):
r = √[(197.82) / (3.14 * C) ].
Since we don't know the value of 'C', which represents the height of the cone, we cannot calculate the exact radius of the cone.
However, if you have the height of the cone, you can substitute the value of 'C' in the above equation and calculate the radius by rounding the result to the nearest hundredth.