Question

Find the surface area of the cylinder give your answer in terms of pi. The radius is 4mm and the height is 5mm

Answer 1

The surface area of a cylinder is the area of the bases plus the area of the side, or SA = 2*A₁ + A₂

Since the area of a circle is
`\pi r^(2)`,
SA = 2*(
`\pi r^(2)`) + A₂

Since the area of the side is height * the circumference of the circle or A₂ = h *
`2 \pi r`, then SA must be;

SA =
`2* \pi (r ^(2) )+h*2 \pi r`
SA =
`2* \pi (4 ^(2) )+5*2 \pi (4)`
SA =
`32* \pi+80 \pi`
SA ≈ 351.858377202