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Question

A metal sheet of breadth 10cm is used to make a cone of radius 14cm and slant height 20cm. Then length of sheet if 25% of sheet is wasted is .



A
1.99 m
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B
1.77 m
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C
1.82 m
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D
1.54 m
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Solution

The correct option is A 1.99 m
We know that, TSA of cone =πr(r+l)

Now, TSA of cone =227×14×(14+20)
=227×14×34
=1496 cm2 

Let, the length of sheet be L.
Breadth of the sheet =10 cm 
Total area of the sheet =10×L

Since, 25% of sheet was wasted to make the cone, therefore, actual surface area of sheet used to make cone,

10L25%×10L=1496

10L25100×10L=1496

10L2510L=1496

100L25L10=1496

L=1496×1075

L=199.4cm

L=1.99m


Mathematics

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