SOLUTION: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volu

Algebra ->  Bodies-in-space -> SOLUTION: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volu      Log On


   

Question 52829: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h 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 "" in the function's equation.
Answer
h(r)=100/(3.14)*r^2 is what i got but am not 100% sure
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 ????
c) Graph this function.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
a.) V=pir%5E2h
V%2Fpir%5E2=pir%5E2h%2Fpir%5E2
V%2Fpir%5E2=h
V=100 so:
h%28r%29=100%2Fpir%5E2
b.) if r=2
h%282%29=100%2F%28pi%282%29%5E2%29
h%282%29=100%2F%28pi4%29
h%282%29=100%2F%283.14%2A4%29
h%282%29=100%2F12.56
h%282%29=7.96
h(2)=8cm
c. Let r=x, I can't change the x axis to r. Let h=y, I can't change that either.
You only need to look at the + side of the graph because you can't have a negative radius.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C100%2F%283.14x%5E2%29%29