Oatmeal is packaged in a right circular cylindrical container that has a radius of 2.5 inches and a height of 10 inches. What is the surface area of this container in terms of π?

Solution:

Given:

Surface area of cylinder: 2πrh + 2πr²

Using the formula:

Simplifying the LHS:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.