Asilo is a storage building shaped like a cylinder with half a sphere on top. a farmer has 1000 square feet of material with which to build a silo.

Step-by-step explanation:

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Area of the material by which silo is to be build = 1000 square ft

a). Since Surface area of the silo is represented by the formula

By replacing S = 1000

b). Expression representing the volume is given by

By replacing the value of h from option (a) to the option (b).

c). For the maximum volume of silo we will find the derivative of V and equate it to zero.

= 0

r = 6.31 feet

For r = 6.31 ft,

h = 12.59 ft

Therefore, silo will have 6.31 ft height and 12.59 ft height for the maximum volume.

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step-by-step explanation:

domit

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