Volume of a cylinder is h x r^2 x pi
You have the volume and radius of each one, so taking 188.4=(2)^2 x 3.14 x h1, you can solve this equation for the height h1. Likewise, for the other graduated cylinder you take 314=2^2 x 3.14 x h2, and then solve for h2.
To get the difference in heights, just take h2-h1 after solving the equations for h2 and h1
3 sin x = 2 ( 1 - sin² x )
3 sin x = 2 - 2 sin² x
2 sin² x + 3 sin x - 2 = 0
Substitution: t = sin x
2 t² + 3 t - 2 = 0
t 1/2 =

t 1 = 1/2
t 2 = - 2 ( this solution is not acceptable )
sin x = 1/2
Answer:
x 1 = π / 6 + 2 kπ, x 2 = 5 π / 6 + 2 k π, k ∈ Z
Answer: B.) 2:12 and D.) 3:18
Step-by-step explanation: ratios for one lime juice is 1:6
2 lime juice 2*6=12
3 lime juice 3*6=18
X^2-21 divided by x-7 equals x+3