Question

A solid metal sphere of 6 cm diameter is melted and a circular sheet of thickness 1 cm is prepared. Determine the diameter of the sheet.

Answer 1

Answer:

The diameter of a circular sheet is 12 cm.

Step-by-step explanation:

SOLUTION :  

Let r be the radius of a circular sheet.

Given :  

Diameter of a solid metal sphere = 6 cm

Radius of a solid metal sphere, R = 6/2 = 3 cm

Thickness of a circular sheet, h = 1 cm

Volume circular sheet (Cylinder) = Volume of solid metallic sphere

πr²h = 4/3πR³

r²h = 4/3R³

r²×1 = 4/3 × 3³

r² = 4 × 3 × 3  

r² = 36  

r = √36

r = 6 cm

Radius of a circular sheet = 6 cm

Diameter of a circular sheet = 2r = 2 × 6 = 12 cm

Hence, the diameter of a circular sheet is 12 cm.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

⭐《ANSWER》

↪Actually welcome to the concept of the SURFACE AREAS AND VOLUME

↪Basically in this type of numerical of Casting and forming a new object from the old one , we have to remember that , there volume is always same or they remain unchanged

⭐⭐THUS HERE , WE EQUATE THERE VOLUME TO GET THE REQUIRED DIMENSION OF THE NEW CASTED FIGURE ⭐⭐

↪So moving forward we get as

↪VOLUME OF SPHERE = VOLUME OF CYLINDRICAL DISC

↪so we get

〽4/3 Pi r^3 = pi R^2 h

↪and thus after solving we get

↪Diameter of the disc as 12cm