Use two formulas for volume to find the volume of the figure. Express the answer in terms of x and then round to nearest whole number.
Answer:
Volume of the figure = 341.3π + 1,280π = 1,621.33π
Volume of the figure to the nearest whole number = 1,621π m³
Step-by-step explanation:
The figure shown is composed of a hemisphere and a cylinder.
The volume of the figure = volume of hemisphere + volume of cylinder
Volume of the hemisphere = ⅔πr³
Radius (r) of hemisphere = 16/2 = 8 m
Volume of hemisphere = ⅔*π*8³ = ⅔*π*512 = 341.33π m³
Volume of Cylinder = πr²h
radius (r) = 16/2 = 8 m
height (h) = 20 m
Volume of cylinder = π*8²*20 = 1,280π m³
Volume of the figure = 341.3π + 1,280π = 1,621.33π
Volume of the figure to the nearest whole number = 1,621π m³