Question

9. The base area and height of a right circular conical tent are 154 m and 4 m respectively. find the
area of cloth used in the tent.


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Answer 1

]Floor area of conical tent = 154 sq.m.

Height = 24 m

Since, floor of conical tent is circular 

So, area of floor = πr2

So,  πr2 = 154

⟹722r2=154

⟹r2 = 227×154

⟹r2 = 49

⟹r=7

Also, we know that

slantheight2=height2+radius2

i.e., l2=h2+r2

i.e., l2=242+72

i.e., l2=576+49

i.e., l2=625

i.e., l=25

So, canvas required = curved surface area of the conical tent 

                                  = πrl

                                  = 722×7×25         

                                  = 22×25     

                                  = 550 sq.m.