Answered

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A farmer's silo is in the shape of a cylinder topped by a hemisphere. If the radius of the silo is 13 ft and the height of the cylindrical portion is 44 ft, what is the volume of the silo?

Sagot :

Answer:

V = 27948.09 cubic feet

Step-by-step explanation:

Given that,

A farmer's silo is in the shape of a cylinder topped by a hemisphere.

The radius of silo, r = 13 ft

Height of the cylindrical portion, h = 44 ft

We need to find the volume of the silo. Net volume is equal to :

V = Volume of cylinder + volume of hemisphere

i.e.

[tex]V=\pi r^2h+\dfrac{2}{3}\pi r^3[/tex]

Put all the values,

[tex]V=3.14\times 13^2\times 44+\dfrac{2}{3}\times 3.14\times 13^3\\\\V=27948.09\ ft^3[/tex]

Hence, the volume of the silo is equal to 27948.09 cubic feet.

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