Asilo is a storage building shaped like a cylinder with half a sphere on top. a farmer has 1000 square feet of material with which to build a silo.

Step-by-step explanation:

The given question is incomplete; please find the complete question enclosed as an attachment.

Area of the material by which silo is to be build = 1000 square ft

a). Since Surface area of the silo is represented by the formula

By replacing S = 1000

b). Expression representing the volume is given by

By replacing the value of h from option (a) to the option (b).

c). For the maximum volume of silo we will find the derivative of V and equate it to zero.

= 0

r = 6.31 feet

For r = 6.31 ft,

h = 12.59 ft

Therefore, silo will have 6.31 ft height and 12.59 ft height for the maximum volume.

Step-by-step explanation:

we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

Step 1

Find the slope of the line perpendicular to the line QR

The equation of the line QR is equal to

The slope m1 of the line QR is equal to

The slope of the line perpendicular to the line QR is equal to

substitute the value of m1

Step 2

Find the equation of the line into slope intercept form

The equation of the line into slope intercept form is equal to

In this part we have

substitute the values and solve for b

The equation of the line will be