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Round your answer to the nearest tenth if necessary. Use 3.14 for .
A drum has a diameter of 20 inches and is 16 inches deep. Find the volume of this drum.
The volume of this drum is approximately
in³.

HELP QUICK!!!!

Sagot :

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Answer:

[tex] \boxed{\rm \: Volume_{(Drum)} = 5024 \: in {}^{3} }[/tex]

Step-by-step explanation:

Given :

  • Diameter of a drum = 20 inches
  • Deep ( height ) of the drum = 16 inches
  • π = 3.14

To Find:

The volume of the drum.

Solution:

We all know that drum is cylindrical.So we'll use the formulae of the volume of cylinder,to find its volume.

[tex] \boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}[/tex]

Where,

  • r = radius
  • h = height (deep)
  • π = 3.14

The value of radius ain't given,but the diameter is given.We can use the formulae of radius.

[tex] \rm \: Radius = D/2[/tex]

  • D = diameter

Substitute the value of diameter:

[tex] \rm \: Radius = \cfrac{20}{2} = 10[/tex]

Hence,the radius is 10.

So we could now use the formulae of the volume of cylinder:

[tex] \rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h[/tex]

  • π = 3.14
  • r =10 in
  • h = 16 in

[Firstly bring the answer in terms of π then plug π = 3.14 and then simplify.]

[tex] \rm \: Volume_{(Drum)} = \pi(10) {}^{2} (16)[/tex]

[tex] \rm \: Volume_{(Drum)} =\pi100(16)[/tex]

[tex] \rm \: Volume_{(Drum)} = 1600\pi[/tex]

[tex] \rm \: Volume_{(Drum)} = 1600 \times 3.14[/tex]

[tex] \boxed{\rm \: Volume_{(Cylinder)} = 5024 \: in {}^{3}} [/tex]

Hence, we can conclude that:

The volume of this drum is 5024 in^3.

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