Answer: 73440 ways
Step-by-step explanation:
Given: The total number of students = 18
Since they are going to elect a class president, a class Vice President, a class secretary, and a class treasurer.
Thus, they are going to elect 4 different positions from class.
By permutation, the number of ways in which these positions can be selected
Hence, there are 73440 ways to select given positions.
Volumes of revolution are so fun
lets say you have 2 functions f(x) and g(x) where they intersect at c and d where c<d, and f(x) is on top of g(x) (like for a value r where c<r<d, f(r)>g(r)), the volume is
ok, so find the intersection points of
and y=9
9=9x^3
1=x^3
at x=1
so then the area will be from x=0 to x=1
which ones's higher?
try x=0.5
at x=0.5, 9(0.5)^3<9
so the y=9 is on top
therfor
limits are from 0 to 1
higher one is y=9
bottom function is y=9x^3
so the volume is
we can factor out the 81
factor out the constant
integrate
the area is
square units
Answer:
so c must be -4
Step-by-step explanation:
Answer:
310339.1 in^3
Step-by-step explanation:
Volume=4/3*pi*r^3
Volume=4/3*pi*42^3
Volume=4/3*pi*74088
Volume=98784*pi
Volume=310339.0887
So the volume is about 310339.1 in^3