Answer and Step-by-step explanation:
The volume of the resulting solid is shown below:-
The lines in for
y can be y = sqrt(x) using square root
and y = x ÷ 5
In this, the intersect is done when sqrt(x) = x ÷ 5 using square root
Now
x = x^2 ÷ 25
x = 0
or
x = 25
so outermost is x ÷ 5 innermost is sqrt(x) using square root
Therefore A is
= integral of pi ( (x ÷ 5-5)^2 - (sqrt(x)-5)^2) using square root
from 0 to 25
= 625 pi ÷ 6
