Question

20 points!!! Find the volume of these figures

Answer 1

Answer:

Its only 10 points

Step-by-step explanation:

Answer 2

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 = $\pi$$r^{2}$

area of circle = 221.6707776 $m^{2}$

volume of a cylinder = area of circle * height

volume of a cylinder = 221.6707776 * 9.5

volume of a cylinder = 2105.872388 $m^{3}$

11)

we need the formula for an equilateral triangle area

Equilateral Triangle Area = $\sqrt{3}$/4)* $a^{2}$

ETA = ($\sqrt{3}$/4)*$12^{2}$

ETA = 62.35382907 $mm^{2}$

Volume Of Prism = length * area

VOP = 17 * 62.35382907

VOP = 1060.015094 $mm^{3}$