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Pranita Prakash

· started a discussion

· 1 Months ago

regarding data puting (Question: 107661.0 )

how 50 is used in the solution

Question:

How many metres length of cloth 10 m wide will be required to make a conical tent with base radius of 14 m and height is 48 m?

Options:
A) 110 m
B) 55 m 
C) 77 m
D) 220 m
Solution:
Ans: (d) 

Slant height of a cone: ( l ) = √(r2 + h2)

 = √(142 + 482) 

 = √196 + 2304

 = √2500

 l = 50 m

Lateral surface area of a cone = πrl

=\(\cfrac{22}{7}\times 14\times50\)= 2200 m2

Hence length of cloth= \(\cfrac{2200}{10}\)

= 220 m


Knowledge Expert

· commented

· 1 Months ago

Dear student Slant height of a cone: ( l ) = √(r^2 + h^2) = √(14^2 + 48^2) = √196 + 2304 = √2500 l = 50 m Lateral surface area of a cone: L = πrl = 22/7*14*50 = 2200 Hence length of cloth= 2200/10 = 220 m Keep learning Team TR
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