Answer:
Diameter of sphere = 18 cm
Step-by-step explanation:
Volume of Cylinder and Sphere:
Cylinder:
Diameter = 18 cm
r = 18÷ 2 = 9 cm
h = 12 cm
[tex]\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}[/tex]
= π * 9 * 9 * 12 cm³
Sphere:
[tex]\sf \boxed{\text{\bf Volume of sphere = $\dfrac{4}{3} \pi r^3$}}[/tex]
Solid cylinder is melted and turned into a solid sphere.
Volume of sphere = volume of cylinder
[tex]\sf \dfrac{4}{3}\pi r^3 = \pi *9*9*12[/tex]
[tex]\sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\ r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \ sphere = 18 \ cm}[/tex]
