SOLUTION: 2) The volume of a cylinder (think about the volume of a can) is given by V = &#960;r^2 h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the vo

Question 73751: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr^2 h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
a) Write h as a function of r. Keep "π" in the function's equation.
Answer

b) What is the measurement of the height if the radius of the cylinder is 2 centimeters? Round your answer to the nearest whole number.
Answer
Show work in this space

c) Graph this function.
Show graph here

"π" is the symbol for (PI)

Answer by jim_thompson5910(21667) (Show Source):
You can put this solution on YOUR website!
2) The volume of a cylinder (think about the volume of a can) is given by V = where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.

a)
To solve for h divide both sides by
So h equals

Since its a 100 cubic centimeter can h equals

b)To find out the height if the radius is 2 cm, just plug in 2 for r for the 100 cubic centimeter can (this is given above)
Let r=2,V=100

Approximately
So the height is about 8 cm (rounded of course)

c)
To graph this function, let r be x and h be y.
Graph of

SOLUTION: 2) The volume of a cylinder (think about the volume of a can) is given by V = &#960;r^2 h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the vo

SOLUTION: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr^2 h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the vo