Question

the volume of a solid cylinder is 448cm^2 and height is 7cm. find the total surface area of cylinder

Answer 1

Lateral surface area is the area of the unwrapped cylinder.  Total surface area is the area of all the flat surfaces.  This includes the area of the 2 circles and the unwrapped cylinder.

 

 

LA = 2πrh

SA = 2πr2 + 2πrh

V = πr2h

 

 

where:

h = 7 cm

V = 448π cm3

 

From the volume formula, we can find the radius.

 

r = √(V / πh)

r = √(448π cm3 / 7 cm π)

r = √(64 cm2)

r = 8 cm

 

 

So now that you have your values of r and h, plug them into the formula to find LA and SA.