Thursday

August 21, 2014

August 21, 2014

Posted by **melinda** on Sunday, January 15, 2012 at 12:45pm.

Find the ratio of the surface area of a cylinder to the volume of the cylinder if the height remains at 10 cm. Simplify this ratio and let f(x) = the simplified ratio. Let r be the radius of the cylinder.

a) Find the average rate of change as the radius increases from 2 to 5 cm.

Volume:πr^2

SA: 2π^2 + 2πrh

- Math -
**Reiny**, Sunday, January 15, 2012 at 4:36pmBoth of your formulas are incorrrect

Vol of cylinger = πr^2 h

SA = 2πr^2 + 2πrh

so when h = 10,

SA/V = (2πr^2 + 20πr)/(10πr^2

= (r + 10)/(5r)

f(r) = (r+10)/(5r)

f(2) = 12/10 = 6/5 = 1.2

f(5) = 15/25 = .6

avg rate of change = (.6-1.2)/(5-2) = -.2

**Related Questions**

Precalculus - How do you setup the equation for this? Thanky ou! Find the ratio ...

Algebra 1--How Am I Supposed to Solve This?! - Suppose a cone and a cylinder ...

Math: Geometry - The circumference of the base of a cylinder is 16 cm. The ...

math stumped... - is the solution of 1/3x=21? greater than or less than 21? the ...

Maths help - Hi MY question is if a cylinder has a volume of 72cm cubed and a ...

Mat 116/algebra - A cylinder has a radius of 5 in. If the volume of the cylinder...

mat 116/algebra - A cylinder has a radius of 5 in. If the volume of the cylinder...

Geometry Help & Proofs - The ratio of the volume of Cylinder A to the volume of ...

Surface Area - [Given] Fiber Linear Density = 1 denier = 1 g/9000m Fiber Density...

Math - Please Help - The surface area of a right circular cylinder is 1200 cm^2...