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Mathematics

Grade9

Easy

Question

Calculate the volume of the composite solid.

301.6 cm³
502.7 cm³
268.1 cm³
167.6 cm³

hint Hint:

The volume of the composite figure is volume of the hemisphere + the volume of the cone

The correct answer is: 301.6 cm³

Volume of cone is
Volume $equals 1 third πr squared straight h$
$equals 1 third cross times straight pi cross times 4 squared cross times 10 equals 167.5 space cm cubed$
Volume of hemisphere is
$Volume equals fraction numerator 2 cross times 3.1416 cross times 4 cubed over denominator 3 end fraction equals fraction numerator 2 cross times 3.1416 cross times 64 over denominator 3 end fraction equals fraction numerator 402.1239 over denominator 3 end fraction$
Volume = 134.04 in³
Total volume = 167.5 + 134.04
= 301.6

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