Calculate volume

Question

The volume of a cylinder can be calculated by V = πhr2, where π = 3.14159 and r is the radius of the circle and h is the height of the cylinder. Calculate the volume in mL if the radius = 0.0560 m and height = 0.0560 m?

Answer 1

First, let's make sense of the Volume equation for a cylinder. This shape is a tube, flat on two ends like a toilet paper roll (with ends) or a drum. If you imagine this shape as a stack of horizontally placed circles, you can see that the equation is simply the area of a circle (A=Πr²) multiplied by the height of the cylinder (i.e. continuous number of stacked circles with area A.)

 

The units of volume will always be "cubed" or to the third power, as it is 3-dimensional. The units of area are "squared," or to the second power, since they are 2-dimensional.

 

SO, by plugging in the numbers we know, you get the following:

 

V= (3.14159)(0.056m)(0.056m)²

 

V= 0.00055171m³

 

Now, youre NOT DONE

 

Remember the question requested the answer in mL, and we have a volume in meters cubed. Luckily the metric system is easy, and 1m³=1,000L = 1,000,000mL.

 

So, to get your final answer, you will multiply your volume by the conversion factor, which is 1,000,000mL/1m³, which actually equals 1.

 

V=(0.00055171m³)(1,000,000mL/1m³)= xxx.xmL

 

The m³ in the numerator cancels the m³ in the denominator, leaving you with an answer in mL.

 

Be sure to logically check your answer!

A cylinder thats 11.2cm in diameter and 5.6cm tall would hold about half of a liter, can you visualize this? 

Answer 2

a liter is a cubic decimeter; each side measures 1 decimeter or 10 centimeters

the volume of a liter is 10*10*10=1000 cubic centimeters

a liter is also equal to 1000 milliliters, therefore 1 cubic centimeter equals 1 milliliter

change the measurements from meters to centimeters

radius=0.0560m=5.6cm

height=0.0560m=5.6m

V=(3.14159)(5.6)²(5.6)

V=(3.14159)(31.36)(5.6)

V=(3.14159)(175.616)

V=551.71347 cubic centimeters or V=551.71347 milliliters

Answer 3

Hi Paige,

 

For this problem, we are solving for V

π = 3.14159

h= .0560 m

r= .0560

 

So we multiply π x h x r² (which means r times r) and get an answer of .00055171347 cubic meters.

 

However, to get it in cubic ML, we have to multiply our answer by 1,000,000.

 

Thus it is 551.71347 cubic ML

Answer 4

Ok, first, 1cubic centimeter=1ml. We need to find the volume in meters, convert it to cubic centimeters and there's your answer.

So, v=3.14159*0.0560^3=0.0005517139cubic meters=551.7139 cubic centimeters= 551.7139ml