Respuesta :
Answer:
167.47 cubic feet
Step-by-step explanation:
Volume of the Cylinder
3.14×2^2×12=150.72
Volume of the Cone
3.14×2^2×4=50.24
50.24÷3=16.75
Total Volume
16.75+150.72=167.47
Volume is a three-dimensional scalar quantity. The total volume of the figure will be 167.552 ft³.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the figure is the sum of the volume of the cone and the volume of the cylinder.
The volume of the cone = (1/3)πr²h = (1/3)×π×2²×4 = 5.334π ft³
The volume of the cylinder = πr²h = π × 2² × 12 = 48π ft³
The total volume of the figure can be written as,
Total Volume = Volume of cone + Volume of cylinder
= 5.33π ft³ + 48π ft³
= 167.552 ft³
Hence, the total volume of the figure will be 167.552 ft³.
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