Math, asked by sharmasubhash90900, 11 months ago

the volume of cylinder is 488 Pi centimetre cube and height 7 cm then its lateral surface area is ​

Answers

Answered by Ramjot82
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.

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