HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?
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Answer:
Volume of the solid figure = 1131 cubic inches
Step-by-step explanation:
Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism
Volume of half cylindrical prism = [tex]\frac{1}{2}(\pi r^2h)[/tex]
= [tex](\frac{1}{2})(\pi )(17-11)^2(6)[/tex]
= 339.29 cubic inch.
Volume of the rectangular prism = (length × width × height)
= 11 × 6 × 12
= 792 cubic inches
Volume of the solid figure = 339.29 + 792
= 1131.29
≈ 1131 cubic inches