TS ICET 2017 Question Paper with Solutions for online practice

Question : 108 of 200

Marks: +1, -0

A circular conical tent in the form of a cone on the top of a cylinder is erected. If the total height of the tent is 3 m and the height and the base diameter of cylinder are 2.5 m and 4 m respectively, then the quantity of canvas used for the tent (in sq. m) is

$(√17+10)$ π
$(√17+20)$ π
$(√17+1/2)$ π
$(√17-10)$ π

Validate

Solution:

l=√{2^{2}+({1}/{2})^{2}}=√{4+{1}/{4}}=√{{17}/{4}}={√{17}}/{2}m

Total quantity of canvas = Total surface area

=2πrh+πrl=π[2rh+rl]

=π[2×2×5/2+2×√17/2]=π[10+√17]m

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