Answer:
8.9 feet to the nearest tenth.
Step-by-step explanation:
The volume of a cone is 1/3 π r^2 h where r = the radius of the base and h = the height.
So we have the equation:
208 = 1/3 π r^2 10
r^2 = 208 / (1/3 * π * 10)
r^2 = 19.85 sq feet
so r = √19.86
= 4.457 feet.
So the diameter = 2 * 4.457 = 8.914 feet.
Answer:
8.92 feet
Step-by-step explanation:
The formula for finding volume is:
V = pi*r^2*h/3
Since you have to find the diameter, you need to do the inverse.
208 = pi*r^2*10/3
So 208 divided by pi equals 66.21
Then 66.21 divided by 10 is 6.621
You then multiply 6.621 by 3, and get 19.863
Finally you have to find the square root of 19.863, and you get 4.46
The radius is 4.46 and since the radius is half the diameter, you multiply 4.46 by 2.
4.46*2 = 8.92
The diameter is 8.92 feet
