Question

a metal cube having an edge 5cm was melted and cast into a cylinder of height 21cm. Find its radius​

Answer 1

Answer:

$\sqrt{ \frac{125}{66} } = r$

Step-by-step explanation:

volume of a cube=a^2

${5}^{2} = 125 {cm}^{2}$

volume of a cube = volume of cylinder

volume of cylinder= π r^2h

$125 = \frac{22}{7} \times 21 \times {r}^{2} \\ 125 = 66 {r}^{2} \\ \sqrt{ \frac{125}{66} } = r$