Question

A glass cylinder is completely filled with 24x^5y^8 cubic inches of salt solution. The jug has a base area of 4x^5 square inches. The hight of the jug, in inches, is represented by the expression 24x^5y^8/ 4x^5. Which of the following simplified expressions represents the height of the jug in inches?
A: 6y^3
B: 6y^8
C: 6xy^8 (I think it's this one....)
D: 6x^10y^8

Answer 1

We know that

volume of a cylinder=area of the base*height
area of the base=4x^5  in²
height=24x^5y^8/ 4x^5 in
volume=24x^5y^8 in³

height=24x^5y^8/ 4x^5 ------> (24/4)*(x^5/x^5)*(y^8)------> (6)*(1)*(y^8)-----> 6y^8

the answer is
B: 6y^8