Question

find the surface area of a cylinder with a base diameter of 4 m and a height of 6 m. use the value 3.14 for π, and do not do any rounding. be sure to include the correct unit.

Explanation:

Step1: Calculate base radius

The diameter is 4 m, so radius $r = \frac{4}{2} = 2$ m.

Step2: Find area of two bases

Formula for area of one circle is $\pi r^2$, so two bases: $2\pi r^2 = 2\times3.14\times2^2$
$= 2\times3.14\times4 = 25.12$ $\text{m}^2$

Step3: Calculate lateral surface area

Formula is $2\pi rh$, substitute values: $2\times3.14\times2\times6$
$= 2\times3.14\times12 = 75.36$ $\text{m}^2$

Step4: Sum all surface areas

Add base area and lateral area: $25.12 + 75.36$

Answer:

$100.48$ $\text{m}^2$