the cloth used in a conical tent is 330 square metre .find its vertical height if its slant height is 15m.
Pls ans
gaurav2013c:
Please check the question again, I think height is 15 m, not slant height
no slant height is 15 m and the height is to be calculated
the ans is 4 root 11
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Surface area of cloth = CSA of cone
=> 330 m^2 = pi × R × L
=> 330 = 22 × R × 15 / 7
=> R = 330 × 7 / 22 × 15
=> R = 15 × 7 / 15
=> R = 7 m
Now,
Height of tent = sqrt ( l^2 - r^2)
= sqrt ( 15^2 - 7^2)
= sqrt ( 225 - 49)
= sqrt ( 176)
= sqrt ( 2 × 2 × 2 × 2 × 11)
= 4 root 11 m
=> 330 m^2 = pi × R × L
=> 330 = 22 × R × 15 / 7
=> R = 330 × 7 / 22 × 15
=> R = 15 × 7 / 15
=> R = 7 m
Now,
Height of tent = sqrt ( l^2 - r^2)
= sqrt ( 15^2 - 7^2)
= sqrt ( 225 - 49)
= sqrt ( 176)
= sqrt ( 2 × 2 × 2 × 2 × 11)
= 4 root 11 m
its correct!!
yes
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