Barn silo volume

Question

a barns silo is 40m tall and has a radius of 5m. it is capped with a hemispherical roof. find the total volume of the silo

Answer 1

PROBLEM

 

Barn silo volume
a barns silo is 40m tall and has a radius of 5m. it is capped with a hemispherical roof. find the total volume of the silo

 

SOLUTION

 

The silo is comprised of two 3-D figures: a cylinder and a hemisphere (a sphere cut in half). Therefore, you can find the total volume by adding together the volumes of the cylinder and hemisphere.

 

V_cylinder = πr²h

 

V_hemisphere = (2/3)πr³

 

r = 5 m

 

h = 40 m

 

Substitute into the formulas the values for the radius and height, solve for the volumes, and then add them to get the total.

 

I'm sure you can finish this on your own.