Question

an aluminium sphere of radius 12 cm is melted to make a cylinder of radius 8 cm find the height of the cylinder​

Answer 1

Answer:

Step-by-step explanation:

Volume of sphere = 4/3π r³

                              = 4/3 * 22/7 * 12 * 12 * 12

                              = 50,688/7

Volume of sphere = Volume of Cylinder

Volume of Cylinder = πr²h

        50,688/7        = 22/7 * 8 * 8 * h

       50,688 * 7/7 *22 * 64 = h

     50,688 / 22 * 64  = h

      2,304 / 64  = h

        36 = h

 ∴ h = 36 cm.

Answer 2

Answer:

Height of the cylinder is 36cm.

Step-by-step explanation:

Volume of sphere = $\frac{4}{3}$ π r³

                             = $\frac{4}{3}$ × $\frac{22}{7}$ × 12 × 12 × 12

                             =   $\frac{50688}{7}$

Volume of sphere = Volume of Cylinder

Volume of Cylinder = πr²h

     $\frac{50688}{7}$       =   $\frac{22}{7}$ × 8 × 8 × h

     $\frac{50688(7)}{7(22)(64)}$  = h

   $\frac{50688}{22(64)}$  = h

    $\frac{2304}{64}$  = h

       36 = h

∴ h = 36 cm.

Therefore, height of the cylinder is 36cm.