Question

Round your answer to the nearest tenth if necessary. Use 3.14 for .

Answer 1

Answer:

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

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.

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

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.]

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

$\rm \: Volume_{(Drum)} =\pi100(16)$

$\rm \: Volume_{(Drum)} = 1600\pi$

$\rm \: Volume_{(Drum)} = 1600 \times 3.14$

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

Hence, we can conclude that:

The volume of this drum is 5024 in^3.