Answer:
D. 735.25 cubic inches.
Step-by-step explanation:
Well hello there! My name is Lunako, and I'm here to help you out.
What we need to do:
Firstly, do you remember the formula for finding the volume of the sphere? Yep, it's 4π(r³/3)! I'll substitute r for 5.6 -- which is 11.2 divided by 2, but you knew that already right? -- and π for 3.14 -- I'm doing that for relative ease.
4(3.14) * (5.6³/3) {Firstly we need to need find the cube of 5.6. That would be 175.616. Let me show the work for that: 5.6 * 5.6 = 25 + 3 + 3 + 0.36 = 31.36; 31.36 * 5.6 = 150 + 5 + 1.5 + 0.3 + 18 + 0.6 + 0.18 + 0.036 = 155 + 1.8 + 18.6 + 0.216 = 156.8 + 18.816 = 175.616}
4(3.14) * (175.616/3) {Now divide 175.616 by 3 to get 58.5387 (rounded to 54 places).}
4(3.14) * 58.5387 {Now onto the left sides. 3.14 quadrupled is 12.56.}
12.56 * 58.5387 {Now for the last step: Multiplying 12.56 by 58.5387. The work for that is shown in the picture. You should get 735.246072.}
735.246072 in³ {While this is the answer, we need to round it to two decimal places, like in the answer choices. 6 is greater then 5, so round up to 735.25.}
735.25 in³ {And with that this problem is solved.}
The Answer:
The volume of the sphere is 735.25 cubic inches, which is D.
I hope this helps! °˖✧◝(⁰▿⁰)◜✧˖°
