anonymous
  • anonymous
Write an expression for the volume of a cylinder with a height 7in. greater than the radius.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
First look up the formula for volume of a cylinder.
anonymous
  • anonymous
V = pi*r^2*h
anonymous
  • anonymous
The height is 7 in greater than the radius. How would you write that expression?

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anonymous
  • anonymous
x + 7
anonymous
  • anonymous
So put that in to your equation.
anonymous
  • anonymous
pi*r^2*(x + 7)
anonymous
  • anonymous
Be sure to be consistent with your variables. The height is in relation to the length of the radius.
anonymous
  • anonymous
so change the x to a r?
anonymous
  • anonymous
That is what I would do. It really doesn't matter which one you use as long as you are consistent.
anonymous
  • anonymous
so it would read pi*r^2*(r + 7)
anonymous
  • anonymous
Yes, but you probably need to simplify.
anonymous
  • anonymous
how?
anonymous
  • anonymous
Distribute.
anonymous
  • anonymous
how
anonymous
  • anonymous
Multiply the term outside the parenthesis by each of the terms inside the parenthesis.
anonymous
  • anonymous
pi*r^3+7r^2?
anonymous
  • anonymous
Exactly.
anonymous
  • anonymous
thanks alot!
anonymous
  • anonymous
Your welcome.

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