Find the area of the base and the volume of a cone.
the height is 17 and the radius is 8. my answer needs to be in pie
area of the base
= area of the circle with radius 8
= π(8^2) = 64π units
Volume = (1/3)πr^2 h
= (1/3)π(64)(17) = 544π units^2
these are the answer I have to pick from for volume
1088/3 pi feet cubed
960 pi feet cubed
320 pi feet cubed
1088 pi feet cubed
You could have easily seen that I made a calculation error
(1/3)π(64)(17) is correct,
but then I must have divided by 2 instead of by 3
clearly it should have been
10880π/3
To find the area of the base of a cone, you need to calculate the area of a circle with the radius of the cone's base. The formula to find the area of a circle is A = πr², where "A" represents the area and "r" represents the radius.
In this case, the radius of the cone's base is 8, so the area of the base can be calculated as follows:
A = π(8)²
A = π(64)
A = 64π
Therefore, the area of the base of the cone is 64π.
To find the volume of the cone, you need to use the formula V = (1/3)πr²h, where "V" represents the volume, "r" represents the radius, and "h" represents the height.
In this case, the radius of the cone's base is also 8 and the height is 17. Substituting these values into the formula, we can calculate the volume as follows:
V = (1/3)π(8)²(17)
V = (1/3)π(64)(17)
V = (1/3)π(1088)
V ≈ 362.67π
Therefore, the volume of the cone is approximately 362.67π.