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Question
bridget has a kitchen canister in the shape of a cylinder, which holds flour. if the canister is 22 cm in diameter and 24 cm tall, what is the surface area of the cylinder in terms of π? 770π cm² 816π cm² 528π cm² 1,012π cm²
Step1: Find the radius
The diameter \(d = 22\) cm, so the radius \(r=\frac{d}{2}=\frac{22}{2}=11\) cm.
Step2: Recall the surface - area formula for a cylinder
The surface - area formula for a cylinder is \(S = 2\pi r(r + h)\), where \(r\) is the radius and \(h\) is the height. Here \(h = 24\) cm and \(r = 11\) cm.
Step3: Substitute the values into the formula
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\(770\pi\space cm^{2}\)