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If the diameter of a right cylinder is doubled and the height is tripled, its volume is
a. multiplied by 12.
b. multiplied by 2.
c. multiplied by 6
d. multiplied by 3.
a. The formula for determining the volume of a right cylinder is volume = πr2h. If the diameter is doubled and the height is tripled, the formula has modified to π(2r)2(3h). Simplification gives, π4r23h or π12r2h. Differentiate this expression to the original formula; with a factor or 12, the volume is now multiplied by 12.
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