Answer:
138pi units^3
Explanation:
To find the volume of the mini-submarine, we need to find the volume of its three parts: half sphere, cylinder and cone. Then, we sum the volumes of the three parts.
Volume of the half sphere with radius = 3:
V1 = (1/2) * (4/3) * pi * r^3
V1 = (1/2) * (4/3) * pi * 3^3 = 18pi units^3
Volume of the cylinder with radius = 3 and height = 12:
V2 = pi * r^2 * h
V2 = pi * 3^2 * 12 = 108pi units^3
To find the volume of the cone, we need to first find its height:
h^2 + r^2 = s^2
h^2 + 3^2 = 5^2
h = 4
Volume of the cone with radius = 3 and height = 4:
V3 = (1/3) * pi * r^2 * h
V3 = (1/3) * pi * 3^2 * 4 = 12pi units^3
The total volume will be:
V = V1 + V2 + V3 = 138pi units^3