Question

Jack knows the surface area of a cylinder and its radius. He wants to find the cylinder's height. He needs to rewrite the formula to find the cylinder's height (h) in terms of the cylinder’s surface area (A) and its radius (r). Which is the correct formula? R=x^2+y^2 y=sqrR^2+x^2 y=sqrr^2-x^2 y=x^2-r^2

Answer 1

h= A/2πr - r

Explanation:

Surface area of a cylinder:

• A=2πrh+2πr²
• 2πrh= A- 2πr²
• h= (A- 2πr²)/2πr= A/2πr - r

h= A/2πr - r

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It seems the answer options are referring to something else:

• R=x^2+y^2

If it is about finding the value of y based on the above formula, then

it should be:

• y= √(R-x²)

and none of the options below match this:

• y=sqrR^2+x^2
• y=sqrr^2-x^2
• y=x^2-r^2