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Find the surface area of the cylinder:

Find the surface area of the cylinder:

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Full solution

Q. Find the surface area of the cylinder:
  1. Identify Formula: Identify the formula for the surface area of a cylinder.\newlineSurface Area = 2πrh+2πr22\pi rh + 2\pi r^2, where rr is the radius and hh is the height.
  2. Find Given Values: Find the given values for the radius and height of the cylinder. Let's say the radius r=5r = 5 units and the height h=10h = 10 units.
  3. Plug Values: Plug the values into the surface area formula.\newlineSurface Area = 2π(5)(10)+2π(5)22\pi(5)(10) + 2\pi(5)^2.
  4. Calculate First Part: Calculate the first part of the formula, 2πrh2\pi rh.\newline2πrh=2×π×5×10=100π2\pi rh = 2 \times \pi \times 5 \times 10 = 100\pi.
  5. Calculate Second Part: Calculate the second part of the formula, 2πr22\pi r^2. \newline2πr2=2×π×52=50π2\pi r^2 = 2 \times \pi \times 5^2 = 50\pi.
  6. Add Parts Together: Add both parts together to get the total surface area.\newlineSurface Area = 100π+50π=150π100\pi + 50\pi = 150\pi.

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