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.

Open in App

Solution

Diameter of sphere = 6 cm

Therefore,

Radius = 3 cm.

Therefore,

Surface area of sphere

Area of the circular sheet

Therefore,

Surface area of sphere = area of the circular sheet

Therefore,

Diameter of the sheet = 2 × 6 = 12 cm

Suggest Corrections

Similar questions

Q. A metallic sphere 1 dm in diameter is beaten into a circular sheet of uniform thickness equal to 1 mm. Find the radius of the sheet.

Q. A copper sphere of diameter 6 cm is melted and drawn into 36 cm long wire of uniform circular cross-section. Then, its radius is
(a) 2 cm
(b) 1.5 cm
(c) 1.2 cm
(d) 1 cm

Q. The volume of the sphere and cube of its diameter are in direct proportion. Two solid spheres of diameter 3 cm and 4 cm are melted together and cast into a hollow sphere of diameter 6 cm. Find the thickness of the outer cover of the sphere.

What is the least number of solid metallic spheres, each of 6 cm diameter, that should be melted and recast to form a solid metal cone whose height is 45 cm and diameter 12 cm ?

Q. The diameter of a solid metallic sphere is

16

cm. The sphere is melted and recast into

8

equal solid spherical balls. Determine the radius of the ball.

Join BYJU'S Learning Program

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.

Diameter of sphere = 6 cm Therefore, Radius = 3 cm. Therefore, Surface area of sphere Area of the circular sheet Therefore, Surface area of sphere = area of the circular sheet Therefore, Diameter of the sheet = 2 × 6 = 12 cm

Diameter of sphere = 6 cm

Therefore,

Radius = 3 cm.

Therefore,

Surface area of sphere

Area of the circular sheet

Therefore,

Surface area of sphere = area of the circular sheet

Therefore,

Diameter of the sheet = 2 × 6 = 12 cm