The Farmer Supply is building storage building for fertilizer shaped top. The that has cylindrica base and cone county laws say that the storage building must have maximum maximum height of 14 feet. Width of 8 feet and trucks deliver fertilizer in loads that are feet tall; feet wide, and 12 feet long_ Farmer Supply Dump wants t0 be able to store dump-truck loads of fertilizer: and height of the cone, h2 that Farmer Supply should use in Determine height of the cylinder; h1 will be able to store at least two dump-truck loads of fertilizer: the design: Show that your design Enter your answer and your work in the space provided

Respuesta :

Assuming  ℎ1 = 11 feet and ℎ 2 = 3 feet, the storage of the facility is going to be 603 cubic feet, which is more than 576 cubic feet

The diameter of the building has been given as 8cm

radius = d/2 = 8/2 = 4

Maximum height = h1 + h2 = 14

Find the volume of the fertilizer that is containeed in both of the trucks

2(12x4x6) = 576 feet

From the height of 14 feets we have to assume

h1 = 11 ft,

h2 = 3 ft

How to solve for volume

[tex]volume =\frac{1}{3} \pi r^{2} h2 + \pi r^{2} h1[/tex]

= 0.333*3.14*4²*3 + 3.14*4²*11

= 602.8 ft ≈ 603

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