Question

9. A dosed metallic cylinder has its base diameter 56 cm and it is 2.25 m high. Find
The cost of the metal used to make it if it costs 80 per square metre.​

Answer 1

Step-by-step explanation:

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Answer 2

Given :

• Diameter of base of Cylinder = 56cm.
• Height of Cylinder = 2.25m

To Find :

• Cost of metal used if 1m²=Rs. 80

Solution :

$\longmapsto\tt{Diameter=56cm}$

$\longmapsto\tt{Radius=\cancel\dfrac{56}{2}=28cm}$

$\longmapsto\tt{Height=2.25m=225cm}$

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cylinder=2\pi{r(r+h)}}$

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{\cancel{7}}\times{\cancel{28}}(28+225)}$

$\longmapsto\tt{44\times{4}(253)}$

$\longmapsto\tt{176\times{253}}$

$\longmapsto\tt\bold{44528{cm}^{2}}$

In metres :

$\longmapsto\tt{\dfrac{44528}{10000}}$

$\longmapsto\tt\bold{4.4528{m}^{2}}$

Now :

$\longmapsto\tt{Cost\:of\:1{m}^{2}=Rs.80}$

$\longmapsto\tt{Cost\:of\:4.4538{m}^{2}=4.4528\times{80}}$

$\longmapsto\tt\bold{Rs.356.224}$

So , The cost of metal is Rs.356.224...