What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radii is 3: 7?

The ratio is or 27:343

Step-by-step explanation:

The volume of cylinder is = ; where r is radius and h is height.

Given that the ratio of the heights and radii of two similar cylinders is 3 : 7.

Let r' be the radius and h' be the height of the other cylinder.

Its volume is

According to the given information, we have

Hence, we get

=

=

Therefore, the ratio is 27:343

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.