what is the volume of the cone with a diameter of 20 cm and a height of 15 cm
To find the volume of a cone, we can use the formula: V = (1/3)πr²h.
Given:
Diameter of the cone = 20 cm
Radius (r) = Diameter/2 = 20/2 = 10 cm
Height (h) = 15 cm
Plugging in the values into the formula, we get:
V = (1/3)π(10²)(15)
V = (1/3)π(100)(15)
V = (1/3)π(1500)
V = (1/3)(3.14159)(1500)
V = (3.14159)(500)
V = 1570.8 cm³
Therefore, the volume of the cone is approximately 1570.8 cm³.