Cylinder a has the same volume as cylinder b. if the radius of a is three times the radius of b, what is the ratio of the height of a to the height of b?

The answer is 1:9

Step-by-step explanation:

Step 1 :

Given the radius of cylinder A is 3 times the radius of cylinder B.

we know the formula for a cylinder's volume,

The Volume of the cylinder (V) =  πr²h

Step 2 :

Let r be the radius of cylinder B, then the radius of cylinder A is 3r

substituting the values of the radius in the above equation we get,

The volume of cylinder A = π.(3r²)·h

                                           =(9)(π). (r²) .h

Tripling the radius in cylinder A the volume becomes 9 times the volume of cylinder B. The height of cylinder A must be 1/9 the height of cylinder B, if the volumes are to be the same.

ANSWER: The ratio of the heights of cylinders A and B is 1:9.

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42