<span>A cylinder has a radius of 12.2 inches and a height of 6.1 inches. What is the volume of the cylinder to the nearest tenth in³?
</span><span>C. 2852.3 in³</span>
Answer: 12
Step-by-step explanation:
(55-52) + ( 3 +6)
3 + 9
12
Answer:
Most ancient societies had symbols to represent numbers, but they did not have symbols to represent operations or unknown quantities. Thus, the problems and solutions to the problems had to be written in word form.
Step-by-step explanation:
Sample response :)
The answer should be number one. (No correlation)
Answer:
1) 11![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
2) 2
3) ![20\sqrt{3} + 15\sqrt{2}](https://tex.z-dn.net/?f=20%5Csqrt%7B3%7D%20%20%2B%2015%5Csqrt%7B2%7D)
4) ![53 + 12\sqrt{10}](https://tex.z-dn.net/?f=53%20%2B%2012%5Csqrt%7B10%7D)
5) -2
6) ![7\sqrt{2} - 5\sqrt{3}](https://tex.z-dn.net/?f=7%5Csqrt%7B2%7D%20%20-%205%5Csqrt%7B3%7D)
Step-by-step explanation:
1) 2
+ 3
- ![\sqrt{75}](https://tex.z-dn.net/?f=%5Csqrt%7B75%7D)
=(2 × 2
)+ (3 × 4
) - 5![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
= 4
+ 12
- 5![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
= 11![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
2) 4
-2
+ ![\sqrt{128}](https://tex.z-dn.net/?f=%5Csqrt%7B128%7D)
= (4 × 2
) - (2 × 7
) + 8![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
= 8
- 14
+8
= 2
3) 5
- 3![\sqrt{18} + 4 \sqrt{72} +2\sqrt{75}](https://tex.z-dn.net/?f=%5Csqrt%7B18%7D%20%2B%204%20%5Csqrt%7B72%7D%20%20%2B2%5Csqrt%7B75%7D)
= 5×
- 3×
+ 4×
+ 2×![5\sqrt{3}](https://tex.z-dn.net/?f=5%5Csqrt%7B3%7D)
= ![10\sqrt{3} - 9\sqrt{2} +24\sqrt{2} +10\sqrt{3}](https://tex.z-dn.net/?f=10%5Csqrt%7B3%7D%20-%209%5Csqrt%7B2%7D%20%2B24%5Csqrt%7B2%7D%20%2B10%5Csqrt%7B3%7D)
= ![20\sqrt{3} + 15\sqrt{2}](https://tex.z-dn.net/?f=20%5Csqrt%7B3%7D%20%20%2B%2015%5Csqrt%7B2%7D)
4) ![(2\sqrt{2} + 3\sqrt{5} )^{2}](https://tex.z-dn.net/?f=%282%5Csqrt%7B2%7D%20%20%2B%203%5Csqrt%7B5%7D%20%29%5E%7B2%7D)
= ![8 + 12\sqrt{10} + 45](https://tex.z-dn.net/?f=8%20%2B%2012%5Csqrt%7B10%7D%20%2B%2045)
= ![53 + 12\sqrt{10}](https://tex.z-dn.net/?f=53%20%2B%2012%5Csqrt%7B10%7D)
5) ![(1+\sqrt{3} ) (1-\sqrt{3} )](https://tex.z-dn.net/?f=%281%2B%5Csqrt%7B3%7D%20%29%20%281-%5Csqrt%7B3%7D%20%29)
= ![1 - 3](https://tex.z-dn.net/?f=1%20-%203)
= -2
6) ![(2\sqrt{6} -1) (\sqrt{3} -\sqrt{2} )](https://tex.z-dn.net/?f=%282%5Csqrt%7B6%7D%20-1%29%20%28%5Csqrt%7B3%7D%20-%5Csqrt%7B2%7D%20%20%29)
= ![2\sqrt{18}-2\sqrt{12} -\sqrt{3} +\sqrt{2}](https://tex.z-dn.net/?f=2%5Csqrt%7B18%7D-2%5Csqrt%7B12%7D%20%20-%5Csqrt%7B3%7D%20%20%2B%5Csqrt%7B2%7D)
= 2×
- 2×
- ![\sqrt{3} + \sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%2B%20%5Csqrt%7B2%7D)
= ![6\sqrt{2} - 4\sqrt{3} -\sqrt{3} +\sqrt{2}](https://tex.z-dn.net/?f=6%5Csqrt%7B2%7D%20%20-%204%5Csqrt%7B3%7D%20-%5Csqrt%7B3%7D%20%2B%5Csqrt%7B2%7D)
= ![7\sqrt{2} - 5\sqrt{3}](https://tex.z-dn.net/?f=7%5Csqrt%7B2%7D%20%20-%205%5Csqrt%7B3%7D)
Hope the working out is clear and will help you. :)