Purchase Solution

# Surface area and volume

Not what you're looking for?

Solve the following word problem, you will need to know that a cylinder of radius r and height h has volume V = Pi r^2 h. Also, a circle of radius r has area A = Pi r^2 and circumference C = 2 Pi r.

A closed cylindrical can has a radius t and height h.
a) If the surface area S of the can is a constant, express the volume V of the can in terms of S and r.
b) If the volume V of the can is a constant, express the surface area S in terms of V and r.

##### Solution Summary

This looks at the relationship between surface area and volume for a cylindrical can.

##### Solution Preview

a) We know that the surface area S of a cylinder is:
S= 2*Pi*r^2+ 2*Pi*r*h ...

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.