Afarmer wants to build a new grain silo. the shape of the silo is to be a cylinder with a hemisphere on the top, where the radius of the hemisphere is to be the same length as the radius of the base of the cylinder. the farmer would like the height of the silo’s cylinder portion to be 4 times the diameter of the base of the cylinder. what should the radius of the silo be if the silo is to hold 35,500pie cubic feet of grain?

Step-by-step explanation:

we know that

The volume of the silo is equal to the volume of a cylinder plus the volume of a hemisphere

so

In this problem we have

----> 4 times the diameter is equal to 8 times the radius

substitute in the formula and solve for r

Simplify pi

5104.38 inches

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet