A nursery operator wants to build a greenhouse in the shape of a half cylinder. The volume of the greenhouse is to be approximately 35,350 cubic feet.
A nursery operator wants to build a greenhouse in the shape of a half cylinder. The volume of the greenhouse is to be approximately 35,350 cubic feet.
@Mathematics

Question

A nursery operator wants to build a greenhouse in the shape of a half cylinder. The volume of the greenhouse is to be approximately 35,350 cubic feet. 
 A nursery operator wants to build a greenhouse in the shape of a half cylinder. The volume of the greenhouse is to be approximately 35,350 cubic feet. 
 @Mathematics

anonymous · Answer

do u know the formulae of cylinder

anonymous · Answer

A. The formula for the radius r (in feet) of a half cylinder is given by $$r=\sqrt{2v/\pi \iota}$$

anonymous · Answer

where v is the volume (in cubic feet) and l is the length (in feet). Find the radius of the greenhouse. Round the result to the nearest whole number.

anonymous · Answer

l=100ft

anonymous · Answer

now plug in all the values in the formulae u will get the answer

anonymous · Answer

as u know everything so u can do it right !

anonymous · Answer

I dont understand how to do it

anonymous · Answer

here, volume = 35350 cu ft
l = 100 ft

formula for half cylinder radius u had written as
$$r = \sqrt(2v/\pi \times l) $$

anonymous · Answer

$$r = \sqrt{\frac{35350}{3.14 \times 100}}$$

anonymous · Answer

on solving this see wht u get ??

anonymous · Answer

I got 15.00530692

anonymous · Answer

so nearest whole number is 15 ft
so radius is 15 ft

anonymous · Answer

okay, now i have part b & c ; can u help me with this?

anonymous · Answer

go ahead

anonymous · Answer

what is part b say

anonymous · Answer

wrong formula , one second.

anonymous · Answer

B. Beams for holding a sprinkler system are to be placed across the top of the greenhouse. The formula for the height h at which the beams are to be placed is given by $$h=\sqrt{r^2-\left(\begin{matrix}a \ 2\end{matrix}\right)^2}$$

anonymous · Answer

where a is the length of a beam. rewrite h as a function of only a

anonymous · Answer

what is a?

anonymous · Answer

ill upload a picture of the diagram

anonymous · Answer

$$h = \sqrt{r^2 -(\frac{a}{2})^2}$$
square up both the sides what u will get.

anonymous · Answer

$$h^2 = r^2 -(\frac{a}{2})^2$$

anonymous · Answer

after that solve for h

anonymous · Answer

what is given her is r given??

anonymous · Answer

no r isnt given

anonymous · Answer

unless r=25

anonymous · Answer

means unless r = 25???

anonymous · Answer

no im saying i think r might = 25

anonymous · Answer

r u have calculated in the last question only so r = 15 ft

anonymous · Answer

oh okay.

anonymous · Answer

OMG m also a fool unnecesserily i was showing those things 
just plug in the value of r in the equation which u gave me for h

anonymous · Answer

lol its okay