Answer:
See below
Step-by-step explanation:
π, pronounced as <em>pi</em> is the ratio between 2πr which is circumference to 2r which is diameter.
In word, π is circumference/diameter which has exact value of 3.14159... and it is also an irrational number too.
π is often used to be defined as 3, 3.14 or 22/7 [Keep in mind, these numbers are only approximation.] in some fields. In trigonometry, π is mostly used to refer as <u>π radians</u> or <u>π rad</u> which is equivalent to 180°.
Why do we need it? Because it’s useful in a field that requires rotation. If you notice, figure with circular base will always have π with it, the volume is an example.
In calculus, you need π to do solid of revolution method which is:
![\displaystyle \large{V =\pi \int\limits^a_b {[f(x)]^2} \ dx }\\\\\displaystyle \large{V = \pi \int\limits^a_b {[g(y)]^2} \ dy}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7BV%20%3D%5Cpi%20%5Cint%5Climits%5Ea_b%20%7B%5Bf%28x%29%5D%5E2%7D%20%5C%20dx%20%7D%5C%5C%5C%5C%5Cdisplaystyle%20%5Clarge%7BV%20%3D%20%5Cpi%20%5Cint%5Climits%5Ea_b%20%7B%5Bg%28y%29%5D%5E2%7D%20%5C%20dy%7D)
In trigonometry, you need it for measurement/angle.
So anything that’s related to revolution, rotation or related to circle must require π at least.
In general life, you do not use it but this is mostly applied in engineering field and anything related to science that involves with circle or revolve.
Let me know if you have any questions!
Answer:
1296π m^3
Step-by-step explanation:
The volume of a cylinder is given by
V=πr^2h
We are given the diameter. To find the radius, divide the diameter in half.
r = d/2 = 24/2 = 12
Substituting in what we know
V = pi * (12)^2 * 9
V = pi *1296 m^3
Answer:
<h2>x = 3</h2>
Step-by-step explanation:
Look at the picture.
We have the triangles 45° - 45° - 90° and 30° - 60° - 90°.
The sides of those triangles are in ratio:
1 : 1 : √2 and 1 : √3 : 2
Therefore
If AC = 6√2 then AB = BC = 6
If BC = 6 then x = 6 : 2 = 3
I believe the first one is h becuase there is a y on the left side.
for the second one just find the slope for the points and see which one doesn't fit in the groups (I would use tables)
and for the last one try writing equations for them.
but idk tho that's just what I would do.
1/6 + 2/3=
1/6+4/6 being 6 the common denominator
5/6 which is in simplest form