Answer:
Let us say x is a real number and z = a + ib is complex
|x| > 0
|z| = |a + ib| = square-root (a^2 + b^2)
Step-by-step explanation:
|x| > 0 the absolute value of a real number is a nonnegative real number
The |a + ib| = square-root of the sum of the squares of the real components of the complex number
This is a 3 step problem. First you ignore the hole in the middle and find the volume anyways. Then you find the volume of the empty middle part. Then you can find the volume of the actual shape by subtracting them.
area of a circle is= pi r^2
Volume with hole: 5*5*pi*8=200pi
Volume of hole= 1.5*1.5*pi*8= 18pi
Volume of doughnut = 200pi-18pi=182pi=571.769863u^3
r is the radius which is half of the diameter.
pi is a big number but you can use 3.14
the formula for finding the volume is area of base times height. That's why i multiplied it by 8.]
I hope this helps
Since y=k, there is a slope of zero, which is just a horizontal line k units from the x-axis. In this case k=-5, so the graph of y=-5 is a horizontal line 5 units below the x-axis...
4 x -5 = -20 then 12 + -20 = -8
Answer:
V= 904.896cm^3
Step-by-step explanation:
Volume of a cylinder
V = πr^2h
V - volume of a cylinder
π - pie
r - radius of the cylinder
h - height of the cylinder
Given :
h - 18cm
d - 8cm
d = 2 * radius
r = d/2
r = 8/2
r = 4cm
π - 3.142
Insert the values into the formula of volume of a cylinder
V = πr^2h
V = 3.142 * 4^2 * 18
= 3.142 * 16 * 18
= 904.896cm^3
