Answer to Question #206638 in Geometry for Festus

Question

A base diameter is 14cm while the height is 12cm. Calculate the total surface area if the cylinder has both a base and a top (π=22/7)

Answer 1

Let $d=$ a base diameter, $h=$ the height of the cylinder. Then

$$Area=A=2\pi(\dfrac{d}{2})^2+2\pi(\dfrac{d}{2})h=\dfrac{\pi d}{2}(d+2h)$$

$$A=\dfrac{\dfrac{22}{7}(14) }{2}(14+2(12))=836 (cm^2)$$

The total surface area if the cylinder is $836$ cm².