9514 1404 393
Answer:
26.2 in³
Explanation:
The formula for the volume of a cone uses the radius of the cone as one of its variables. Here, the diameter is given, so we need to divide it by 2 to find the radius.
r = d/2 = (5 in)/2 = 2.5 in
The volume is ...
V = 1/3πr²h
V = (1/3)π(2.5 in)²(4 in) = 25π/3 in³ ≈ 26.2 in³
The volume of the cone is about 26.2 in³.