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# 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. - Mathematics

Answer in Brief

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.

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#### Solution

Diameter of sphere = 6 cm

Therefore,

Radius = 3 cm.

Therefore,

Surface area of sphere

=4pir^2

=4 xx pi xx (3)^2

 = 36pi cm^2

Area of the circular sheet =pir^2

Therefore,

Surface area of sphere = area of the circular sheet

pir^2 = 36pi

r = 6cm

Therefore,

Diameter of the sheet = 2 × 6 = 12 cm

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 36 | Page 82
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