A cone is 9 in. By 5 on.
What is the volume of the cone?
A. 942 cubic inches
B. 47.1 cubic inches
C. 423.9 cubic inches
D. 235.5 cubic inches
To find the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
Given that the radius of the cone is 9 in and the height is 5 in, you can plug these values into the formula to find the volume.
V = (1/3)π(9^2)(5)
V = (1/3)π(81)(5)
V = (1/3)(81π)(5)
V = (81π/3)(5)
V = (27π)(5)
V = 135π
Now you can approximate the value of π to find the volume of the cone.
Pi (π) is approximately 3.14.
V ≈ 135(3.14)
V ≈ 423.9
Therefore, the volume of the cone is approximately 423.9 cubic inches.
The correct answer is C. 423.9 cubic inches.