The first and last ones equal .8
Answer:
a) The volume of the water is approximately 678.6 cm³.
b) The volume of the sphere is approximately 113.1 cm³.
c) The new height of the water is approximately 7 cm, one cm higher than before.
Step-by-step explanation:
To solve this problem we first need to calculate the volume of the water, which is given by the cylinder volume, since it's stored in a cylindrical container.
![\text{water volume} = \pi*r^2*h\\\text{water volume} = \pi*(6)^2*6\\\text{water volume} = \pi*36*6\\\text{water volume} = 678.584 \text{ }cm^3\\](https://tex.z-dn.net/?f=%5Ctext%7Bwater%20volume%7D%20%3D%20%5Cpi%2Ar%5E2%2Ah%5C%5C%5Ctext%7Bwater%20volume%7D%20%3D%20%5Cpi%2A%286%29%5E2%2A6%5C%5C%5Ctext%7Bwater%20volume%7D%20%3D%20%5Cpi%2A36%2A6%5C%5C%5Ctext%7Bwater%20volume%7D%20%3D%20678.584%20%5Ctext%7B%20%7Dcm%5E3%5C%5C)
We now need to calculate the volume of the sphere, by using the appropriate formula:
![\text{volume sphere} = \frac{4}{3}\pi*r^3\\\text{volume sphere} = \frac{4}{3}\pi*(3^3)\\\text{volume sphere} = \frac{4}{3}\pi*27\\\text{volume sphere} = 113.09 \text{ } cm^3](https://tex.z-dn.net/?f=%5Ctext%7Bvolume%20sphere%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%2Ar%5E3%5C%5C%5Ctext%7Bvolume%20sphere%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%2A%283%5E3%29%5C%5C%5Ctext%7Bvolume%20sphere%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%2A27%5C%5C%5Ctext%7Bvolume%20sphere%7D%20%3D%20113.09%20%5Ctext%7B%20%7D%20cm%5E3)
When the sphere is inserted into the cylinder the volume of the things that are inside of the container are added up, so the volume would be the volume of the water plus the volume of the sphere, we can use this information to calculate the height of the water as shown below:
![\text{total volume} = \text{water volume} + \text{sphere volume}\\\text{total volume} = 678.6 + 113.1 = 791.7\\\text{total volume} = \pi*r^2*h_{new}\\791.7 = \pi*(6)^2*h_{new}\\h_{new} = \frac{791.7}{\pi*36} = 7.00016\text{ } cm](https://tex.z-dn.net/?f=%5Ctext%7Btotal%20volume%7D%20%3D%20%5Ctext%7Bwater%20volume%7D%20%2B%20%5Ctext%7Bsphere%20volume%7D%5C%5C%5Ctext%7Btotal%20volume%7D%20%3D%20678.6%20%2B%20113.1%20%3D%20791.7%5C%5C%5Ctext%7Btotal%20volume%7D%20%3D%20%5Cpi%2Ar%5E2%2Ah_%7Bnew%7D%5C%5C791.7%20%3D%20%5Cpi%2A%286%29%5E2%2Ah_%7Bnew%7D%5C%5Ch_%7Bnew%7D%20%3D%20%5Cfrac%7B791.7%7D%7B%5Cpi%2A36%7D%20%3D%207.00016%5Ctext%7B%20%7D%20cm)
a) The volume of the water is approximately 678.6 cm³.
b) The volume of the sphere is approximately 113.1 cm³.
c) The new height of the water is approximately 7 cm, one cm higher than before.
Answer:
Solution given:
side 1=23ft.
side 2=15ft
side 3=32ft
we have
perimeter=sum of all sides
=23+15+32=70ft
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Answer:
nonlinear
Step-by-step explanation:
The word 'linear' means something having to do with a line. On a Cartesian Plane, a linear characteristic is a feature wherein the graph is a straight line. The line can cross in any direction, but it's always an instant line. A non-linear function has a shape that isn't an immediate line
The graph is nonlinear because it is not a straight line.
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