Question

question 11 (multiple choice worth 1 points) (05.04 mc) 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 is 24 cm, so the radius \( r = \frac{24}{2}=12 \) cm.

Step2: Recall the surface area formula for a cylinder

The surface area of a cylinder is \( SA = 2\pi r^2+2\pi rh \), where \( h = 26 \) cm (height).

Step3: Calculate \( 2\pi r^2 \)

Substitute \( r = 12 \): \( 2\pi(12)^2=2\pi\times144 = 288\pi \).

Step4: Calculate \( 2\pi rh \)

Substitute \( r = 12 \), \( h = 26 \): \( 2\pi\times12\times26=624\pi \).

Step5: Sum the two parts

\( SA=288\pi + 624\pi=912\pi \) \( \text{cm}^2 \).

Answer:

912π cm² (corresponding to the option with 912π cm²)