Answer:
81πinc^3
Step-by-step explanation:
Volume of glass = π(3)^2(12) = 108πin^3
Volume of water in glass = π(3)^2(3) = 27πin^3
Volume needed to fill completely = 108π - 27π = 81π^3
Topic: Mensuration
If you like to venture further, please give my Instagram page a follow (learntionary). I'll be constantly posting math tips and notes! Thanks!
To write in slope intercept form solve the equation for y:
4x + 3y =15
Subtract 4x from both sides:
3y = -4x +15
Now get Y by itself by divide all terms by 3:
y = -4/3x + 5
1. By the Law of Sines, you have:
SinA/a=SinB/b=SinC/c
2. You don't need the fraction SinC/c, so you can eliminate it. Then:
SinA/a=SinB/b
A=40°
a=19
B=m∠b
b=13
3. When you substitute this values into SinA/a=SinB/b, you obtain:
SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°
Therefore, the answer is: 26.1 degrees.
Using cosine law and considering the angle ABC is 89 you can deduce that AC is 6.3
6<6.3
So the largest possible integer is 6
