Jatin made a model in the shape of a cylinder of a radius of 7 cm and a height of 14 cm for his school project. He wants to use the colored sheets to decorate the model except for the top and bottom. If the colored sheet costs ₹0.75 per cm2, what will be the total cost to decorate the model?
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Step-by-step explanation:
ANSWER
Here diameter of the base R = 10cm so radius r=
2
R
=
2
10
=5cm
Height of the cylinder = 7.5 cm.
CSA of the cylinder =2πrh
=2×
7
22
×5×7.5=235.72
Again for the cone , we have r
1
=5cm,h
1
=19.5−7.5=12cm
and slant height (l
1
)=
r
2
+h
2
=
(5
2
+(12)
2
=
25+144
=
169
=13
∴ curved surface area of the cone =πr
1
l
1
=
7
22
×5×13=204.28
So total area of tent = CSA of the cylinder + CSA of the cone =235.72+204.28=440cm
2
Hence total paper require to make the tent =440cm
2
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