Y A tank has the shape of the solid of revolution obtained by revolving the curve...

 

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Y A tank has the shape of the solid of revolution obtained by revolving the curve x = sin for 0 30 y 3, about the y-axis, with both axes being measured in metres. W This end up! The tank is completely filled with water which is then drained from the tank at a contant rate of 100 litres per minute. Suppose that a given instant the water in the tank is w metres deep. 1. What is the volume (in litres) of the water in the tank at the given instant? Work it out both by hand and by using SageMath. [6] Y A tank has the shape of the solid of revolution obtained by revolving the curve x = sin for 0 30 y 3, about the y-axis, with both axes being measured in metres. W This end up! The tank is completely filled with water which is then drained from the tank at a contant rate of 100 litres per minute. Suppose that a given instant the water in the tank is w metres deep. 1. What is the volume (in litres) of the water in the tank at the given instant? Work it out both by hand and by using SageMath. [6]