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The diagram below shows a part of the curve y = (1 + 4x)12 and a point A(2, 3) lying on the curve. The line AB intersects the x-axis at B(5, 0). Fill in the blank with the correct number. The volume of the solid of revolution obtained when the shaded region is rotated through 360∘ about the x-axis is π cubic units.

The diagram below shows a part of the curve y = (1 + 4x)12 and a point A(2, 3) lying on the curve. The line AB intersects the x-axis at B(5, 0). Fill in the blank with the correct number. The volume of the solid of revolution obtained when the shaded region is rotated through 360∘ about the x-axis is π cubic units.

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The diagram below shows a part of the curve y = ( 1 + 4 x ) 1 2 and a point A ( 2 , 3 ) lying on the curve. The line A B intersects the x -axis at B ( 5 , 0 ) .
Fill in the blank with the correct number. The volume of the solid of revolution obtained when the shaded region is rotated through 360 ∘ about the x -axis is ◻ π cubic units.

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