The correct answer is: [D]: " 576π cm³ " .
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Explanation:
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Use the formula for the volume, "V", of a cylinder, to find the volume of the given cylinder:
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V = π r² h ;
in which:
V = volume (for which we shall solve).
π = π ; All the answer choices given are in terms of 'π' ;
r = radius = 6 cm (given);
h = height = 16 cm (given);
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Plug in these values into the formula to solve for the volume, "V" :
V = π r² h
= π * (6 cm)² * (16 cm) ;
= π * (6²) * (cm²) * (16 cm) ;
= π * (6*6) * 16 * cm³ ;
= π * (36) * 16 * cm³ ;
= π * (36 * 16) * cm³
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V = 576 π cm³ ; which is: Answer choice: [D]: " 576π cm³ " .
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