Final answer:
The closest volume to the given options is 16π in³.
Step-by-step explanation:
To find the volume of a cone, we use the formula: V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height of the cone. Since we are given the radius of the cone as 2 in, we can calculate the volume as follows:
V = 1/3 * π * 2^2 * h
Let's compare the given options:
a) 8π in³
b) 16π in³
c) 4π in³
d) 12π in³
By substituting the radius of 2 in, we can calculate the volume for each option:
a) 1/3 * π * 2^2 * h = 8π in³
b) 1/3 * π * (2 * 2)^2 * h = 16π in³
c) 1/3 * π * 2^2 * h = 8π in³
d) 1/3 * π * (2 * 2)^2 * h = 16π in³
The closest volume to the given options is b) 16π in³.