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## Smiley75 Group Title A new addition to Grady middles school is a rectangular prism hallway with a half cylinder roof, as shown in the diagram. What is the volume of the addition? a. 5,600.0 cubic feet b. 9,446.5 cubic feet c. 7,693.0 cubic feet d. 13,293.0 cubic feet 3 years ago 3 years ago

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1. Smiley75

2. Smiley75

i need help!

3. xkehaulanix

The volume of the rectangular prism is 8x14x50=5600 cubic feet. The volume of a cylinder is usually pi x (r^2)h, but since it is only half of a cylinder, you divide it by two. $\pi \times7^{2} \times 50 \div 2= 3848.45$ Add the two together to get the volume: 3848.45 + 5600 = 9448.5 And...uh...that's not one of the choices...

4. applekiwi

If use 3.14 for pi it will gives 9446.5 (B)

5. Smiley75

Thanks :)