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Mathematics

Grade9

Easy

Question

Mr. Quintero has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone, as shown. Which is the closest to the volume of Mr. Quintero's cup?

21 cubic inches
63 cubic inches
66 cubic inches
198 cubic inches

hint Hint:

The plastic cup is in the shape of a cone.The volume of a cone is given by $1 third cross times straight pi cross times left parenthesis base space radius right parenthesis squared cross times height$

The correct answer is: 66 cubic inches

Volume = $fraction numerator 1 over denominator 3 end fraction pi r to the power of 2 end exponent h$
$equals fraction numerator 1 over denominator 3 end fraction cross times pi cross times 3 to the power of 2 end exponent cross times 7$
$equals 21 pi$
∼ 66 inches³

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