Acylinder has the same height and radius. the total surface area is 100 pi. calculate the volume

The formula for Surface Area of a cylinder is 2πrh + 2πr². So solve for the height and radius:

A= 2πrh + 2πr²
because the height is the same as the radius, you can do this:

A=2πr² + 2πr²
combine like terms:

A=4πr²
Plug in your information:

100π = 4πr²
Solve for r:

r= 5

Solve for Volume: (v=πr²h)
Since height is the same as volume, combine like terms:

V=πr³

r³= 125
Plug into the equation:

V=125π

V=125 pi. I found this by finding the radius then plugging it in for the volume

To graph a straight line:

find the y-intercept by taking x = 0

find the x-intercepts by taking y = 0

Draw a straight line joining these two points

change in y depends on the slope.

As x increases:

y increases if the slope is positive

y decreases if the slope is negative

As x decreases:

y increases if the slope is negative

y decreases if the slope is positive