Respuesta :

To find volume of a cylinder, you must find the area of the base and multiply it by the height of the object.

V=Bh where B=area of the base. Since the base is a circle, we must find area of the circle. A=pi(r^2)
A=3.14(6^2) Since it gave us the diameter, we take half for radius. Solve A=3.14(36)
A= 113.04 square cm

Now to find volume.
V=113.04•11
V=1243.44 cubic cm

Now find volume of the cone on top.

V=1/3Bh again with B= area of the base (pi)(r^2)
Since the two objects share a base, we can use the area of the cylinder as above.
V=1/3(113.04)9
We have to do a little simple math to determine the height of just the cone. Total height is 20-11 height of the cylinder. The difference is 9.
V=1/3(113.04)9 multiply
V=339.12 cubic cm

Now add the two volumes together to find total volume.
Total V=1243.44+339.12
V=1582.56 cubic cm

The volume of the composite figure consisting cylinder and cone is 1582.6 unit³ round the nearest tenth.

How to find the volume of the composite figures?

To find volume of the composite figures,

  • Separate the figure.
  • Calculate the volume of the each figure by which the composite figure is made of.
  • Add the volume of all the individual figures to get the total volume of composite figures.

Here the composite figure is made of two figures. One is cylinder and another one is cone. Lets first find out the volume of cylinder as,

The diameter of the cylinder base is 12 units and height of the cylinder is 11 units. The volume of the cylinder with diameter (d) and height (h) can find out as,

[tex]V_{cylinder}=\pi\dfrac{d^2}{4}h[/tex]

Put the values as,

[tex]V_{cylinder}=3.14\times\dfrac{(12)^2}{4}\times11\\V_{cylinder}=1243.44\rm unit^3[/tex]

The diameter of the cone base is 12 units and height of the cone is 9(20-11) units. The volume of the cone with diameter (d) and height (h) can find out as,

[tex]V_{cone}=\dfrac{1}{3}\pi\dfrac{d^2}{4}h[/tex]

Put the values as,

[tex]V_{cone}=\dfrac{1}{3}3.14\times\dfrac{(12)^2}{4}\times9\\V_{cone}=339.12\rm unit^3[/tex]

Thus the volume of the composite figure is,

[tex]V=1243.44+339.12\\V=1582.56\rm unit^3[/tex]

Thus, the volume of the composite figure consisting cylinder and cone is 1582.6 unit³ round the nearest tenth.

Learn more about the volume of composite figures here;

https://brainly.com/question/1205683

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