Answer:
Future requirement of water = 115,517 mega-liters
Step-by-step explanation:
Given:
Current requirement of water (C) = 48,000 mega-liters
Increasing rate per year (g) = 5% = 0.05
Number of year (n) = 18 years
Find:
Future requirement of water = ?
Computation:
Future requirement of water = 115,517 (Approx) mega-liters
Another triple integral. We're integrating over the interior of the sphere
Let's do the outer integral over z. z stays within the sphere so it goes from -2 to 2.
For the middle integral we have
x is the inner integral so at this point we conservatively say its zero. That means y goes from and
Similarly the inner integral x goes between
So we rewrite the integral
Let's work on the inner one,
There's no z in the integrand, so we treat it as a constant.
So the middle integral is
I gotta go so I'll stop here, sorry.
