When y varies inversely as x ⇒ y*x=k
y=27 and x=40 ⇒27*40=1080=k
y*10=1080
y=1080:10
y=108
<h2>VARIATION</h2>

<h3>QUESTION:</h3>
- If y varies directly as x and inversely as z,what is the correct equation describing the relationship between x,y,and z?
<h3>ANSWER:</h3>
The givén problem is an ēxample of <u>Combinēd </u><u>Variation</u>. So the córrect equation for this problem is this:
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Hi, Im Daubechies, a Filipina user ≧▽≦
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Step-by-step explanation:
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Answer:
Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting:
V (volume) = ?
Solving:(Cylinder volume)
Note: Now, let's find the volume of a hemisphere.
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting:
If: We know that the volume of a sphere is , but we have a hemisphere, so the formula will be half the volume of the hemisphere
Formula: (Volume of the hemisphere)
Solving:
Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)
Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
Step-by-step explanation: