Question

the circumference of base of a 12 m a high conical tent is 66 M find the volume of air contain it

Answer 1

First find radius using 2πr=12m
then, find the volume using 1/3πr^2h

Answer 2

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Circumference of base =2 \pi r2πr

We are given that The circumference of the base of a 12 m = 1200 cm

So,2 \pi r=662πr=66

2 \times \frac{22}{7times r=122×722×r=12

r=\frac{21}{2}r=221

Volume of air in cone =\frac{1}{3} \pi r^2 h=\frac{1}{3} \times \frac{22}{7} \times (\frac{21}{2})^2 (1200)=138600 cm^331πr2h=31×722×(221)2(1200)=138600cm3

Hence The volume of air is 138600 cubic cm