Find the Volume of the Cone?
base area=13
height=10
The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.
Since the base area is given as 13, we can find the radius using the formula for the area of a circle (A = πr²):
13 = πr²
r² = 13/π
r ≈ 1.81
Now we can plug in the values for r and h:
V = (1/3)π(1.81²)10
V ≈ 30.15
Therefore, the volume of the cone is approximately 30.15 cubic units.
To find the volume of a cone, you need to use the formula:
Volume = (1/3) * base area * height
Given that the base area is 13 and the height is 10, we can substitute these values into the formula:
Volume = (1/3) * 13 * 10
Simplifying the expression, we have:
Volume = (1/3) * 130
To find the final volume, we divide 130 by 3:
Volume = 43.33333
Therefore, the volume of the cone is approximately 43.33 units cubed.