Can anyone figure this problem out??

Question

Water storage tank is shaped circular cylinder with half of a sphere at each end. Find the volume of the tank?
of the tank if the cylindrial section is 100 cm long with a 40 cm diameter. Use 3.14 for n. Round the final answer to two decimal places.
Can anyone figure this question out???? Please help me...

Answer 1

Just do 2 seperate calculations.
One for the cylinder volume.
Second for the volume of the 40cm diameter sphere.
Then add the 2 volumes.

Cylinder volume= L(100cm) × pi × r(20)2
125663.70614359172953850573533118
Sphere volume = 4/3 × pi ×r(20)3.
33510.321638291127876934862754973

Total = 159174.02778188285741544059808607 or
159174.03 cubic cm

Use the links to help.

Answer 2

Try breaking it into a cylinder and a sphere. Find the volume of the cylinder using height X (area of base) or
h X (nr^2). I am assuming that by 3.14 for n, you are meaning pi. Divide the diameter in half to get the radius (r), and square it. Then multiply that by pi (3.14 . . .). You now have the area of the base, multiply that by the height, 100, and you have the volume of the cylinder. (125663.71 cm^3 , cubic centimeters)

Now you have to figure the area of the ends as a sphere. The diameter of the sphere is 40cm, radius is 20cm. The formula is (4/3)x(pi)x(radius)^3. The cube of the radius is 20x20x20= 8000.
Multiply that times 4/3 pi, and you get 33510.32 cm^3. Now add the two together, and 125663.71 + 33510.32 = 159174.03 cm^3

Answer 3

The tank can be considered in three parts
1. half a sphere
2. cylinder
3. half a sphere

now the two half spheres can be taken as one sphere.

The volume of the tank will be = volume of cylinder + volume of sphere

= pi*(r^2)*h + (4/3)*pi*(r^3) where r is the radius = 20 cm (since diameter is 40 cm) and h = length of cylinder = 100 cm

note that the radius of the cylinder and the sphere will be the same.

so total volume = 3.14*20*20*100 + (4/3)*3.14*20*20*20
= 159093.33 cu cm

Answer 4

people gave you excellent help with this question. now...how could you get started on this by yourself?
draw the figure as neatly as you can...label what you know (height, diameter)...do you see any parts that you could determine from your drawing? the radius of the sphere?

what topics are you studying in your class? volumes of spheres? volumes of cylinders? get those formulas from your book...see if you have enough information to use a formula...then finish the problem and ask if it is a reasonable answer?

It is always nice that you can get help here...but try to learn how to do these problems on your own...maybe the difficult part is getting started....draw the figure and label known parts ,,, a good beginning!

Answer 5

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