A silo is shaped like a cylinder with a cone on top. The radii of the bases of the cylinder and cone are both equal to 8 feet. T
he height of the cylindrical part is 25 feet and the height of the cone is 6 feet. What is the volume of the entire silo?
2 answers:
Answer: 6702.1
Explanation:
Volume of cylinder = πr^2h
= π(8^2)25
= 1600 π
Volume of cone = πr^2(h/3)
= π(8^2)(25/3)
= π (64)(25/3)
= (1600 π)/3
Add these two numbers
= 1600 π + (1600 π)/3
= (4800 π+ 1600 π)/3
= 6400 π/ 3
=6702.06≈6702.1
Answer:
Volume of the entire silo = 5428.67 ft³
Step-by-step explanation:
Here we need to add volume of cylinder to volume of cone.
,
Where r is the radius of cylinder and h is the height of cylinder.

Where r is the radius of cone and h is the height of cone.
Radius of cylinder = 8 feet
Height of cylinder = 25 feet
Radius of cone = 8 feet
Height of cone = 6 feet
Substituting

Volume of the entire silo = 5428.67 ft³
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