The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x? The measurements of the cylinder prism is r=2.5 cm and height is not listed

Question

I BEG YOU HELP ME I DONT UNDERSTAN IT WELL

Answer 1

I assume from your description that the shape of the prism is a cylinder.

Equations for the surface area and volume of a cylinder:

1. V = πr²h
2. A = 2πr(h+r)

You know r, but you don't know h. I assume you're solving for h, since there's no variable named x in either of these equations.

If the volume and surface area are equal, then

1. πr²h = 2πr(h+r)

Insert the constant value (2.5) for r in the equation, and solve for h.