if the legs of the cone is 10 and 12

Question

whats the volume

Answer 1

To find the volume of a cone, you can use the formula:

V = (1/3) * π * r^2 * h

where:
V = volume of the cone
r = radius of the base of the cone
h = height of the cone

Given that the legs of the cone are 10 and 12, we can use the Pythagorean theorem to find the radius:

r = √(12^2 - 10^2)
r = √(144 - 100)
r = √44
r ≈ 6.63

Now, the height of the cone can be calculated as the square root of the sum of the squares of the legs:

h = √(10^2 + 12^2)
h = √(100 + 144)
h = √244
h ≈ 15.62

Now we can calculate the volume:

V = (1/3) * π * (6.63)^2 * 15.62
V ≈ 550.63 cubic units

So, the volume of the cone is approximately 550.63 cubic units.