A cylindrical vessel of diameter 42 cm and height 40 cm contains water up to a depth of 16 cm. Now a solid iron cylinder, with diameter 14 cm and height 32 cm is placed upright in the cylindrical vessel. The volume of the water required to just submerge the solid cylinder will be

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The area of a trapezium with height 14cm is 504cm2. If the parallel sides are in the ratio 4:5, find their lengths.

The correct option is B 32cm,40cm.Area of trapezium=12(sum of parallel opposite side)(height)Let parallel side are 4x,5x504=12(4x+5x)(14)(504)(2)9(14)=xx=8side of one side=4(8)=32cm,5(8)=40cm

The area of a trapezium with height $14 c m$ is $504 c m^{2}$ . If the parallel sides are in the ratio $4 : 5$ , find their lengths.

The correct option is B $32 c m, 40 c m$ .
Area of trapezium $= \frac{1}{2}$ (sum of parallel opposite side)(height)
Let parallel side are $4 x, 5 x$
$504 = \frac{1}{2} (4 x + 5 x) (14)$
$\frac{(504) (2)}{9 (14)} = x$
$x = 8$
side of one side $= 4 (8) = 32 c m, 5 (8) = 40 c m$