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 Dante bought a new graduated cylinder for his chemistry class. It holds570.24 milliliters of liquid. If the cylinder has a radius

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Dante bought a new graduated cylinder for his chemistry class. It holds570.24 milliliters of liquid. If the cylinder has a radius of 3.6 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)

 Sep 22, 2014

Best Answer 

 #1
avatar+3453 
+8

Well, let's use the formula for a cyinder to solve this.

 

$$V = \pi r^2h$$     
   
 
Put in the Volume (V) in cm, because 1 mL = 1 cm
 
 
$$570.24\pi=\pi r^2h$$
 
$$\frac{570.24\pi}{\pi}=\frac{\pi r^2h}{\pi}$$
 
$$570.24 = r^2h$$
 
Put in the radius:
 
$$570.24 = 3.6^2h$$
 
$$570.24 = 12.96h$$
 
$$\frac{570.24}{12.96} = \frac{12.96h}{12.96}$$
 
$$\frac{570.24}{12.96} = h$$
 
$$44 = h$$
 
so:
 
$$h = 44$$
 
The height of the cylinder is 44 cm.
 Sep 23, 2014

1+0 Answers

 #1
avatar+3453 
+8
Best Answer

Well, let's use the formula for a cyinder to solve this.

 

$$V = \pi r^2h$$     
   
 
Put in the Volume (V) in cm, because 1 mL = 1 cm
 
 
$$570.24\pi=\pi r^2h$$
 
$$\frac{570.24\pi}{\pi}=\frac{\pi r^2h}{\pi}$$
 
$$570.24 = r^2h$$
 
Put in the radius:
 
$$570.24 = 3.6^2h$$
 
$$570.24 = 12.96h$$
 
$$\frac{570.24}{12.96} = \frac{12.96h}{12.96}$$
 
$$\frac{570.24}{12.96} = h$$
 
$$44 = h$$
 
so:
 
$$h = 44$$
 
The height of the cylinder is 44 cm.
NinjaDevo Sep 23, 2014

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