Answer:
Step-by-step explanation:
9)
it's a right triangle, you should know how to find the area for this one :/ I'll give you the formula , you can push the buttons on a calculator ? right? Okay to be fair, I see that there is one extra step, so i'll do that part for you.
Ф=arcSin(8.5/15.7)
Ф = 32.77908067°
15.7*Cos(32.77908067°) = base
13.2 =base
⇒ use this formula ⇒ (1/2)*base*height*depth
just in case base = 13.2
height = 8.5
depth = 6.2
you got it ? right?
10)
we have to solve for the "adjacent side" of the triangle, which will also be the diameter of the cylinder , so
sin(Ф) = 9.5/19.3
Ф= arcSin(9.5/19.3)
Ф= 29.48712567°
19.3*cos(29.48712567°) = Adjacent
16.8 =Adjacent ( diameter of circle)
16.8/2 = radius
8.4 = radius
area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]
area of circle = 221.6707776 [tex]m^{2}[/tex]
volume of a cylinder = area of circle * height
volume of a cylinder = 221.6707776 * 9.5
volume of a cylinder = 2105.872388 [tex]m^{3}[/tex]
11)
we need the formula for an equilateral triangle area
Equilateral Triangle Area = [tex]\sqrt{3}[/tex]/4)* [tex]a^{2}[/tex]
ETA = ([tex]\sqrt{3}[/tex]/4)*[tex]12^{2}[/tex]
ETA = 62.35382907 [tex]mm^{2}[/tex]
Volume Of Prism = length * area
VOP = 17 * 62.35382907
VOP = 1060.015094 [tex]mm^{3}[/tex]
