Can someone plz help this is like my 5th time putting up this question!!!
1 answer:
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Answer:
Answer Cone Z and Cylinder Y.
Step-by-step explanation:
The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.
The formula for the volume of the cone is :
V = 1/3πh
The formula for the volume of the cylinder is :
V = πh
Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :
V = 1/3π (3h) = π
h
Therefore Cone Z and Cylinder Y have same volume.
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
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