Mr. David and his class of 110 students went for a camping trip. He carried a cloth having an area 165m2 to make it into a conical tent.
Rahul, preeti and rabi decided to help him and suggested Mr. David that tents of radius 5m, 4m and 3m respectively so that each student occupied 5/7m2 on the ground. Whose tent will he choose? Justify with your answer.
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Mr. David tents of radius 5m
Step-by-step explanation:
each student occupied 5/7m²
=> 110 Students will occupy area = 110 * 5/7
= 550/7 m²
Area with radius 3 m = (22/7) * 3²
= 198/7 m²
198/7 < 550/7
not Sufficient
Area with radius 4 m = (22/7) * 4²
= 352/7 m²
352/7 < 550/7
not Sufficient
Area with radius 5 m = (22/7) * 5²
= 550/7 m²
550/7 = 550/7
= Sufficient
and 550/7 < 165 Hence cloth is also sufficient
Mr. David tents of radius 5m
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