The solution would be like
this for this specific problem:
<span>V = ∫ dV </span><span>
<span>= ∫0→2 ∫
0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr </span>
<span>= ∫0→2 ∫
0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr </span>
<span>= ∫0→2 ∫
0→π/2 [ 2·r²·sin(φ) ] dφdr </span>
<span>= ∫0→2 [
-2·r²·cos(π/2) + 2·r²·cos(0) ] dr </span>
<span>= ∫0→2 [
2·r² ] dr </span>
<span>=
(2/3)·2³ - (2/3)·0³ </span>
<span>= 16/3 </span></span>
So the volume of the
given solid is 16/3. I am hoping that these answers have satisfied
your query and it will be able to help you in your endeavors, and if you would
like, feel free to ask another question.
Given condition is- The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids.
Let the total number of candies in the bag be = x
Then, Skittles are 
Candies left =
= 
M&Ms are = 
Now remaining candies are= 
Now Life savers are =
Now adding all these 3 candies

=
Now the remaining candies sour patch will be =

Hence, sour patch kids are 
To find the difference, we are going to destroy the parenthesis first, and then, we are going to perform the operations. Remember that to destroy a parenthesis preceded by a negative sign (-), you should change the signs of the factors inside the parenthesis:


Now we can factor both numerator and denominator and simplify:

We can conclude that the difference in simplest form is:
Radius times 2 = diameter which would be 10 times 3.14 is 31.4 so it’s 31.4