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
The answer is 13.5<<<<<<<<<<<<<<<<
180 x 0.06 = 10.80; $10.80.
Hope this helps,
♥Nikki♥
Answer:
the answer is |x| 5
Step-by-step explanation:
unless there is a number for x the number can't be solved
Answer:
become friends with him then I dunno i guess tell him