Find the volume of the cone with diameter of 6 cm and a height of 12 cm in terms of pi. formula:V=1/3pi r^2
Responses
A.432pi cm^3
B.144pi cm^3
C.36pi cm^3
To find the volume of a cone, we can use the formula V = 1/3 * pi * r^2 * h, where r is the radius and h is the height.
Given that the diameter is 6 cm, the radius (r) would be half of that, which is 3 cm.
Plugging in the values, we get:
V = 1/3 * pi * (3 cm)^2 * 12 cm
V = 1/3 * pi * 9 cm^2 * 12 cm
V = 1/3 * pi * 108 cm^3
V = 36 pi cm^3
So, the volume of the cone is 36pi cm^3.
The correct answer is C. 36pi cm^3.