The sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.
<h3>What is a right-angle triangle?</h3>
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle showing in a picture.
As we know, the sin is the ratio to opposite to the hypotenuse.
Sinθ = 4/5
Thus, the sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.
Learn more about the right angle triangle here:
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Answer:

Step-by-step explanation:
According to the problem, calculation of given data are as follows,
Volume of cylindrical vase = 
As, Cone has same height and radius as cylinder, than we can calculate volume of cone by using following formula,
Volume of cone =
× Volume of cylindrical vase
By putting the value, we get
Volume of cone =
× 63
Volume of cone = 
2/3 and 12/18 are equivalent fractions, and 12+18 = 30 so the answer is 12:18