Answer:
4/3
Step-by-step explanation:
To know this, let's write down the formulas for the volume of cylinder and sphere.
Vs = 4/3πr³ (1)
Vc = π r² h (2)
Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:
Vs / Vc = 4πr³ / 3πr²h
Vs/Vc = 4πr³ / 3πr³
From here, we can cancel out the values of π and r³:
Vs/Vc = 4/3
<h2>
Vs = 4/3 Vc</h2>
Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.
Hope this helps
Answer:
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Step-by-step explanation:
v mkkjljjj
Answer:
x^2\ 16 - y^2/9 = 1
step-by-step explanation:
soooo the equation for a hyperbola that is horizontal is x^2/a^2 - y^2/b^2 = 1
a hyperbola should always equal one so dont forget that when writing your equation becuase it is easy to forget.
it helps to graph this so you can see it better
to find a it is the distance from the center to the vertices which is 4 so in the equation you will write 16 becuase it is a^2
then you need to find b. to get b you have to figure out that c is the distance from the center to the foci which is 5 and it is all related to the plythagorm theorum becuase it forms a right triangle. so you do c^2 - a^2 = b^2
you get 9 for b^2 because 25-16=9 and so you put that in the equation
Good morning ☕️
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Step-by-step explanation:
Look at the photo below for the details.
