Question

11. A cylindrical vessel of diameter 14 cm contains sufficient water to submerge a
cube completely. If the water level rises by 32/77
cm, find the length of the edge
of the cube.​

Answer 1

Answer:

12

Step-by-step explanation:

A cylindrical vessel of diameter 14 cm contains sufficient water to submerge a

cube completely. If the water level rises by 32/77

cm, find the length of the edge

of the cube.

Answer 2

Given:-

• Diameter of Cylinder = 14 cm
• Radius of Cylinder = 7 cm
• Height of water raised = $\sf\frac{32}{77}{cm}$

Formula used here :

$\Huge\sf\red{π{r}^{2}h}$

$\sf \implies \: \frac{22}{7} \times 7 \times 7 \times \frac{32}{77} \\ \\ \sf \implies \: 64 {cm}^{3}$

$\Huge\sf\green{Volume\: of \:a\: cube = {Length\:of\:edge\:of\:cube}^{3}}$

$\sf \implies \: {64}^{3} \\ \\ \sf \implies \: {262144cm}^{3}$

Hence,the Length of cube is = 64 cm .