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.
