Chloe is a pharmacist and wants to know the height of a medicine bottle received from a supplier. the supplier informed her that the radius of the medicine bottle is one-fourth its height. chloe knows that the medicine bottle has a volume of v cubic inches. which of the following functions would best model the situation above? exponential cube root step square root

First we have to determine the volume for the cylinder that is the shape of the medicine bottle. The volume formula for a cylinder is . Chloe was told that the radius is 1/4 of the height. That means that . We sub that value for r into the formula and we get the volume in terms of height only. and . Solving that for the height gives us . If Chloe wants the height, she needs to "undo" that h-cubed by taking the cubed root. That's your answer...cubed root.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.