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Mathematics

Grade9

Easy

Question

Calculate the volume of the composite solid (round to nearest whole number)

19 ft³
24 ft³
29 ft³
34 ft³

hint Hint:

The volume of the composite figure is the sum of the volume of the cone and volume of the hemisphere.

The correct answer is: 34 ft³

Volume of cone is
Volume $equals 1 third πr squared straight h$
$equals 1 third cross times straight pi cross times 2 squared cross times 4 equals 17 space in cubed Volume space of space hemisphere space is Volume equals fraction numerator 2 cross times 3.1416 cross times 2 cubed over denominator 3 end fraction equals fraction numerator 2 cross times 3.1416 cross times 8 over denominator 3 end fraction equals fraction numerator 50.2655 over denominator 3 end fraction$
Volume = 17 in³
Total volume = 17 + 17
= 34

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