Step-by-step explanation:
Longest side of cuboid: 7cm
Height of cylinder:
2 × 7 = 14 cm
Volume of cuboid:
7x3x4=84![cm^3](https://tex.z-dn.net/?f=cm%5E3)
Volume of cylinder:
![84=14\pi r^2 \\r=\sqrt{\frac{6}{\pi} } \ \ \ cm\\r=1.38 \ cm\\](https://tex.z-dn.net/?f=84%3D14%5Cpi%20r%5E2%20%5C%5Cr%3D%5Csqrt%7B%5Cfrac%7B6%7D%7B%5Cpi%7D%20%7D%20%20%5C%20%5C%20%5C%20%20cm%5C%5Cr%3D1.38%20%5C%20cm%5C%5C)
Surface area of the cylinder:
![\pi r^2 + 2 \pi r h](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%20%2B%202%20%5Cpi%20r%20h)
![6+2\pi (\sqrt{\frac{6}{\pi} } ) (14)](https://tex.z-dn.net/?f=6%2B2%5Cpi%20%28%5Csqrt%7B%5Cfrac%7B6%7D%7B%5Cpi%7D%20%7D%20%29%20%2814%29)
=128 cm^2
Here is how I completed the problem:
I started by creating a ratio:
![\frac{x}{0.18} + \frac{360}{0.10} = \frac{x+360}{0.15}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B0.18%7D%20%2B%20%5Cfrac%7B360%7D%7B0.10%7D%20%3D%20%5Cfrac%7Bx%2B360%7D%7B0.15%7D)
<em>Where 'x' is the desired amount of the 18% solution of sulfuric acid.
</em>From here, I solved for 'x':
<em>
</em>
![\frac{0.10x}{0.018} + \frac{360(0.18)}{0.018} = \frac{x+360}{0.15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.10x%7D%7B0.018%7D%20%2B%20%5Cfrac%7B360%280.18%29%7D%7B0.018%7D%20%3D%20%5Cfrac%7Bx%2B360%7D%7B0.15%7D%20)
![\frac{0.10x}{0.018} + \frac{64.8}{0.018} = \frac{x+360}{0.15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.10x%7D%7B0.018%7D%20%2B%20%5Cfrac%7B64.8%7D%7B0.018%7D%20%3D%20%5Cfrac%7Bx%2B360%7D%7B0.15%7D%20)
![\frac{0.10x+64.8}{0.018} = \frac{x+360}{0.15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.10x%2B64.8%7D%7B0.018%7D%20%3D%20%5Cfrac%7Bx%2B360%7D%7B0.15%7D%20)
![0.15(0.10x+64.8) = 0.018(x+360)](https://tex.z-dn.net/?f=0.15%280.10x%2B64.8%29%20%3D%200.018%28x%2B360%29)
![0.015x+9.72 = 0.018x+6.48](https://tex.z-dn.net/?f=0.015x%2B9.72%20%3D%200.018x%2B6.48)
![0.003x = 3.24](https://tex.z-dn.net/?f=0.003x%20%3D%203.24)
![x = 1080](https://tex.z-dn.net/?f=x%20%3D%201080)
∴You will need to add 1080ml of 18% Sulfuric Acid in order to obtain a 15% solution.
Answer: -13/17
Step-by-step explanation:
Answer:
x=106
Step-by-step explanation:
Let's solve your equation step-by-step.
−12+x−34=60
Step 1: Simplify both sides of the equation.
−12+x−34=60
−12+x+−34=60
(x)+(−12+−34)=60(Combine Like Terms)
x+−46=60
x−46=60
Step 2: Add 46 to both sides.
x−46+46=60+46
x=106
x=4,3,2 or,1 are the possible