The volume of a cylinder is 448piecm^3 and height 7cm. Find it's lateral surface area and total surface area.

Question

Question for class 9th. Surface area and volumes 

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.