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1 of 8 0-day streak

Set up volumes, parametric lengths and surfaces of revolution

Question 1 of 8

No calculator

Coordinates are in metres. Give exact rational values; Vpi and Api mean the coefficients in V=Vpi·π m³ and A=Api·π m². Circular-function arguments are in radians

Revolve the region between the curve and the y-axis, with the stated end bounds, about the y-axis. Give the disk radius at y=1 and Vpi

\[x=(3)y^{3},\qquad0\le y\le 1\]
2 marks

Set up the correct geometric element before evaluating