Question #187579

The uniform cross section of a cabin storage compartment on a jet plane is a sector of a circle with radius 55cm, and angle Ө c .  The container is 96 cm wide. The volume of the container is 0.2178 m3. What is the angle Өc




1
Expert's answer
2021-05-07T12:07:35-0400

We have given that,


r=55cm=0.55mr= 55cm = 0.55m


Length of wide =96cm=0.96m= 96cm = 0.96m


Volume = 0.2178m30.2178 m^3


θc\theta_c = ?

We know volume of the sector

=θc×πr2360×length= \dfrac{\theta_c \times \pi r^2}{360} \times length


0.2178=θc×3.14×0.55×0.55360×0.960.2178 = \dfrac{\theta_c\times 3.14 \times 0.55 \times 0.55}{360} \times 0.96


θc=78.4080.911=86.06\theta_c = \dfrac{78.408}{0.911} = 86.06






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