Question

what is the ratio of the volume of a cuboid of dimensions 11*7*4 to the volume of the cylinder of radius 14 and height 11 step by step

Answer 1

Ans:1:7π

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Answer 2

Answer:

If the dimensions of the cuboid are 11*7*4 and the height and radius of the cylinder is 11 and 14 respectively, then the ratio of the volume of the cuboid to the volume of the cylinder is 1:22

Step-by-step explanation:

Given

Dimensions of cuboid = 11*7*4

The volume of cuboid = 11*7*4

The radius of cylinder = 14

Height of the cylinder = 11

The volume of the cylinder = $\pi r^{2} h = \frac{22}{7} *14*14*11$

The ratio of the volume of a cuboid to the volume of cylinder = volume of cuboid /volume of the cylinder

$=\frac{11*7*4}{\frac{22}{7}*14*14*11 } \\\\= \frac{2*7}{22*14} \\\\= \frac{1}{11*2} \\\\=\frac{1}{22}$

So the ratio of the volume of the cuboid to the volume of the cylinder = 1:22