Asked by Ashton
A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top (see the figure). The diameter of the silo is to be 30 feet, but the height is yet to be determined. Find the height h of the silo that will result in a capacity of 10,800ð ft3.
h=
h=
Answers
Answered by
Reiny
let's assume that the silo will be totally filled including the hemisphere.
radius of cylinder and hemisphere is 15
let the height up to the hemisphere be h ft
πr^2 h + (1/2) (4/3)πr^3 = volume
π(15)^2 h + (2/3)π (15)^3 = 10800
225πh + 2250π = 10800
h = (10800 - 2250π)/(225π)
= appr 5.28 ft
very strange looking silo
I suspect there is a typo in 10,800ð ft3
Make the necessary correction and repeat the above steps
radius of cylinder and hemisphere is 15
let the height up to the hemisphere be h ft
πr^2 h + (1/2) (4/3)πr^3 = volume
π(15)^2 h + (2/3)π (15)^3 = 10800
225πh + 2250π = 10800
h = (10800 - 2250π)/(225π)
= appr 5.28 ft
very strange looking silo
I suspect there is a typo in 10,800ð ft3
Make the necessary correction and repeat the above steps
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.