At a local high school, enrollment in the drama club increases by 5 percent each year. what is the common ratio in this situation?

common ratio will be 1.05.

Step-by-step explanation:

At a local high school, enrollment in the drama club increases by 5%.

Let initial number of students in high school is 'a'.

so next year increase in students will be = 5% of a

                                                                    = × a

                                                                    = 0.05a

and total number of the students will be  = ( a + 0.05a )

                                                                    = ( 1.05a )

So common ratio of the geometric square formed will be

=    =  1.05

Therefore, common ratio will be 1.05.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere