find the volume of a cone that is 18in. high and has a 6 in radius
V=(1/3)*pi*r^2*h=pi*r^2*h/3
V=pi*6^2*18 / 3
V=3.14159*36*18 / 3
V=678.58344 in^3
find the volume of a sphere with a 15 in radius
In google type:
wikipedia sphere volume
To find the volume of a cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Where:
π is a mathematical constant approximately equal to 3.14159,
r is the radius of the cone's base, and
h is the height of the cone.
In this case, the height (h) is given as 18 inches, and the radius (r) is given as 6 inches.
Let's substitute these values into the formula to calculate the volume:
Volume = (1/3) * π * (6^2) * 18
First, we calculate the value of 6^2:
6^2 = 6 * 6 = 36
So the equation becomes:
Volume = (1/3) * π * 36 * 18
Next, we multiply 36 by 18:
36 * 18 = 648
Now, we can calculate the volume by multiplying 648 by (1/3) and π.
Volume ≈ (1/3) * 3.14159 * 648
Simplifying the equation:
Volume ≈ 0.33333333 * 3.14159 * 648
Volume ≈ 2143.8724428800002 cubic inches
Therefore, the volume of the cone is approximately 2143.87 cubic inches.