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Answer:
[tex] \boxed{\rm \: Volume_{(Drum)} = 5024 \: in {}^{3} }[/tex]
Step-by-step explanation:
Given :
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,
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]
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]
[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.