A closed cone tank radius 7 cm and height 10 cm is made from a sheet of aluminium. How much sheet is required?
144cm2
22√149cm2
(22√149+154)cm2
None of the above
A
22√149cm2
B
(22√149+154)cm2
C
None of the above
D
144cm2
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Solution
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Given, radius of the cone r=7cm and height h=10cm.
Then, slant height s=√h2+r2
s=√72+102
=√49+100=√149.
We know, total surface area of cone = Area of base + Area of curved surface =πr2+πrs.
=227×7×7+227×7(√149)
=154+22√149cm2.
Therefore, option C is correct.
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