A regular circle cone has height 10cm and cirumference of the base is 12π find its volume ?

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

V = (1/3) * π * r^2 * h

where r is the radius of the base and h is the height of the cone.

Given that the circumference of the base is 12π, we can find the radius by using the formula for the circumference of a circle:

C = 2 * π * r

12π = 2 * π * r
r = 6

Now we can plug in the values of r = 6 and h = 10 into the volume formula:

V = (1/3) * π * 6^2 * 10
V = (1/3) * π * 36 * 10
V = (1/3) * π * 360
V = 120π

Therefore, the volume of the cone is 120π cubic centimeters.

The circumference of the base of a cone is given by:

$$2\pi r$$

where r is the radius of the base.

In this case, the circumference of the base is 12π cm, so the radius of the base is:

$$r = \frac{12\pi}{2\pi} = 6 cm$$

The volume of a cone is given by:

$$V = \frac{1}{3}\pi r^2 h$$

where h is the height of the cone.

In this case, the height of the cone is 10 cm, so the volume of the cone is:

$$V = \frac{1}{3}\pi (6 cm)^2 (10 cm) = 120\pi cm^3$$

Therefore, the volume of the cone is 120π cm^3.