Given a cylinder and a cone with the same base and the same height
Cylinder: r=4 ft and h=3 ft
Cone: r=4 ft and h=3 ft
What is the volume of the cone in cubic feet?
A. 12 π
B. 16 π
C. 36 π
D. 48 π
what does the cylinder have to do with it? For the cone,
v = π/3 r^2 h
= π/3 (16)(3) = 16π
Base Area * height for CYLINDER
pi r^2 h = pi * 16 * 3 = 48 pi
BUT for CONE
anything pointy with straight sides
(1/3) * Base area * height
= 48 pi/3 = 16 pi
To find the volume of a cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Given that the base radius (r) of the cone is 4 ft and the height (h) is also 3 ft, we can substitute these values into the formula:
Volume = (1/3) * π * (4^2) * 3
Volume = (1/3) * π * 16 * 3
Volume = (1/3) * π * 48
Volume = 16 π
Therefore, the volume of the cone is 16 π cubic feet.
The correct answer is B. 16 π.