Acone is constructed by cutting a sector from a circular sheet of metal with radius 20. the cut sheet is then folded up and welded. find the radius and height of the cone with maximum volume that can be formed in this way. a circular sheet of metal with radius 20 units has a sector removed. a right circular cone has a radius labeled r and a height labeled h. the slant height of the cone is 20 units. 20 20 h r write the objective function relating v and h in a form that does not include r. vequals startfraction 400 pi h over 3 endfraction minus startfraction pi h cubed over 3 endfraction (type an expression. type an exact answer, using pi as needed.) the interval of interest of the objective function is left parenthesis 0 comma infinity right parenthesis

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.