Answer:
r=5.44m
Explanation:
The volume of the cylinder part is:
[tex]V1 = 20*\pi *r^2[/tex]
The volume of the cone part:
[tex]V2 = \pi*r^2*h2/3[/tex] where h2 = 2*r according to the enunciate of the problem.
Replacing this value of h2:
[tex]V2=2/3*\pi*r^3[/tex]
Since the total volume must be 700*π
V1+V2=700π
[tex]20*\pi*r^2+2/3*\pi*r^3=700*\pi[/tex]
Solving to find the roots of this equation we get:
r1 = 5.44m; r2 = -6.71m; r3 = -28.73m If we discard negative values, we can say that:
r = 5.44m
