The volume of a cone with height
h
and radius
r
can be found using the formula
V
=
1
3
π
r
2
h
Find the volume of a cone with radius 4 feet and height 5 feet.
you have the formula (mangled though it is)
so plug in your numbers!
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where V represents the volume, π is a mathematical constant (approximately 3.14159), r is the radius of the cone's base, and h is the height of the cone.
In this case, the radius (r) of the cone is 4 feet and the height (h) is 5 feet. We can substitute these values into the formula and calculate the volume step by step.
Step 1: Calculate the value of r^2 (r squared).
r^2 = 4^2
= 16
Step 2: Multiply r^2 by h.
(r^2)h = 16 * 5
= 80
Step 3: Multiply the result by (1/3)π.
V = (1/3)π * 80
= (1/3) * 3.14159 * 80
≈ 83.775
Therefore, the volume of the cone with a radius of 4 feet and a height of 5 feet is approximately 83.775 cubic feet.
To find the volume of a cone with the given radius and height, you can use the formula V = (1/3)πr^2h.
Let's substitute the given values into the formula:
V = (1/3)π(4^2)(5)
First, calculate the value inside the parentheses:
V = (1/3)π(16)(5)
Next, multiply the values:
V = (1/3)π(80)
Finally, calculate the volume:
V ≈ 83.78 cubic feet
Therefore, the volume of the cone with a radius of 4 feet and a height of 5 feet is approximately 83.78 cubic feet.