Question

bridget has a kitchen canister in the shape of a cylinder, which holds flour. if the canister is 24 cm in diameter and 26 cm tall, what is the surface area of the cylinder in terms of π? 624π cm² 1,248π cm² 912π cm² 1,296π cm²

Explanation:

Step1: Find the radius

The diameter $d = 24$ cm, so the radius $r=\frac{d}{2}=\frac{24}{2}=12$ cm.

Step2: Calculate the area of the two - bases

The area of a single base of a cylinder is $A_{base}=\pi r^{2}$. For two bases, $A_{2 - bases}=2\pi r^{2}=2\pi\times(12)^{2}=2\pi\times144 = 288\pi$ $cm^{2}$.

Step3: Calculate the lateral surface area

The formula for the lateral - surface area of a cylinder is $A_{lateral}=2\pi r h$, where $h = 26$ cm and $r = 12$ cm. So $A_{lateral}=2\pi\times12\times26=624\pi$ $cm^{2}$.

Step4: Calculate the total surface area

The total surface area $A = A_{2 - bases}+A_{lateral}=288\pi+624\pi=912\pi$ $cm^{2}$.

Answer:

$912\pi$ $cm^{2}$