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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!!!!

1 Answer

7 votes

Answer:


\boxed{\rm \: Volume_((Drum)) = 5024 \: in {}^(3) }

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.


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

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.


\rm \: Radius = D/2

  • D = diameter

Substitute the value of diameter:


\rm \: Radius = \cfrac{20}{2} = 10

Hence,the radius is 10.

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


\rm \: Volume_((Cylinder)) = \pi{r} {}^(2) h

  • 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.]


\rm \: Volume_((Drum)) = \pi(10) {}^(2) (16)


\rm \: Volume_((Drum)) =\pi100(16)


\rm \: Volume_((Drum)) = 1600\pi


\rm \: Volume_((Drum)) = 1600 * 3.14


\boxed{\rm \: Volume_((Cylinder)) = 5024 \: in {}^(3)}

Hence, we can conclude that:

The volume of this drum is 5024 in^3.

User Itsjavi
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