Question

20 points!!! Find the volume of these figures

Answer 1

Its only 10 points

Explanation:

Answer 2

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 =
`√(3)`/4)*
`a^(2)`

ETA = (
`√(3)`/4)*
`12^(2)`

ETA = 62.35382907
`mm^(2)`

Volume Of Prism = length * area

VOP = 17 * 62.35382907

VOP = 1060.015094
`mm^(3)`