if the diameter of a right cylinder is doubled, Mathematics

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if the diameter of a right cylinder is doubled

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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