Question

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!!!!

Answer 1

`\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.