calculate volume of cone with height 6cm and radius 10cm

as with all pointy things,

V = 1/3 Bh
For a cylinder, the base is a circle, with area
B = πr^2

To calculate the volume of a cone, you can use the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant (approximately 3.14159), r is the radius of the base, and h is the height of the cone.

In this case, the height of the cone is given as 6 cm and the radius is given as 10 cm.

Let's substitute these values into the formula:

V = (1/3) * π * (10 cm)^2 * 6 cm

Now, we can simplify this equation:

V = (1/3) * π * 100 cm^2 * 6 cm
= (1/3) * 3.14159 * 100 cm^2 * 6 cm
= 3.14159 * 100 cm^2 * 2 cm
= 3.14159 * 200 cm^3
≈ 628.318 cm^3

So, the volume of the cone is approximately 628.318 cubic centimeters.