Question #241405

Determine the radius of the spherical wedge whose volume 12 m3 with a central angle of 1.80 radians.


1
Expert's answer
2021-09-26T11:59:20-0400

Vwedge=23R3θradV_{wedge} = \frac{2}{3} R^3 \theta_{rad}


Vwedge=12m3V_{wedge}=12m^3

θrad=1.80\theta_{rad}=1.80

so we will get


12×3/21.80=R3\frac{12\times3/2}{1.80}=R^3


R=2.15443 answerR=2.15443\space answer



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