storage silos can be used to store grains.The silos are 15'wide.The larger silo is 18'10 tall and the shorter is 10'10 tall.NOT INCLUDING THE DOME.how much grain can you store these two silos,combined.Give your answer in cubic feet,to the nearest 0.01.

Answer:

The amount of rains that can be stored in the two silos combined is 5242.53 ft³

Explanation:

The parameters given are;

Diameter, D, of the silos = 15 feet

Height, h₁, of the larger silo = 18 feet 10 inches = 18.83 feet

Height, h₂, of the shorter silo = 10 feet 10 inches = 10.83 feet

The volume, V, of the cylindrical shape is given by the formula;

Volume = Area of base × Height

[tex]Area \, of \, the \, base = \pi \times \dfrac{D^{2}}{4}[/tex]

[tex]\therefore Volume = \pi \times \dfrac{D^{2}}{4}\times h[/tex]

Therefore, for the larger silo, we have;

[tex]Volume, V_1 = \pi \times \dfrac{D^{2}}{4}\times h_1[/tex]

[tex]V_1 = \pi \times \dfrac{15^{2}}{4}\times 18.83 = 3328.12 \ ft^3[/tex]

for the shorter silo, we have;

[tex]Volume, V_2 = \pi \times \dfrac{D^{2}}{4}\times h_2[/tex]

[tex]V_2 = \pi \times \dfrac{15^{2}}{4}\times 10.83 = 1914.41\ ft^3[/tex]

The amount of rains that can be stored in the two silos combined = 3328.12 ft² + 1914.41 ft² = 5242.53 ft².

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