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The following formula gives the total surface area S of a cylinder with radius r and height h.
S=2πr(r+h)
Find the total surface area of a cylinder with radius 4 and height 8. Enter an exact answer in terms of π. Do not include S= in your answer.

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Adioabiolaidn

The total surface area of a cylinder with radius 4 and height 8 is 96π.

Surface area of a cylinder

It follows from the task content that the total surface area of the cylinder is to be determined. The total surface area of the cylinder is given by the formular;

S=2πr(r+h)

  • where,
  • S = surface area
  • r = radius = 4
  • h = height = 8

S=2πr(r+h)

= 2 × π × 4(4 + 8)

= 2 × π × 4(12)

= 2π × 48

= 96π

Hence, the total surface area of the cylinder in terms of π is; 96π.

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