A metallic cylinder of diameter 5 cm. and height 3*1/3 cm. is melted and cast into a sphere.What is its diameter.
Answers
GIVEN :
Diameter of the metallic cylinder(d) = 5 cm
Radius(R) = d/2 = 5/2 = 2.5 cm
Height of the metallic cylinder(h) = 3 1/3 cm = 10/3 cm
Let radius of sphere is r cm.
The metallic cylinder is melted and cast into a sphere. So, the volume of the metallic cylinder and the sphere will be same.
Volume of the metallic cylinder =Volume of sphere
πR²h = 4/3πr³
π× 2.5× 2.5×10/3 = 4/3×π× r³
6.25 × 10 = 4r³
r³ = 62.5/4
r³ = 15.625
r =³√15.625
r = 2.5
Radius of sphere is 2.5 cm
Diameter of the sphere = radius × 2 = 2.5× 2 = 5 cm
Hence ,the Diameter of the sphere = 5 cm.
HOPE THIS WILL HELP YOU..
GIVEN :
Diameter of the metallic cylinder(d) = 5 cm
Radius(R) = d/2 = 5/2 = 2.5 cm
Height of the metallic cylinder(h) = 3 1/3 cm = 10/3 cm
Let radius of sphere is r cm.
The metallic cylinder is melted and cast into a sphere. So, the volume of the metallic cylinder and the sphere will be same.
Volume of the metallic cylinder =Volume of sphere
πR²h = 4/3πr³
π× 2.5× 2.5×10/3 = 4/3×π× r³
6.25 × 10 = 4r³
r³ = 62.5/4
r³ = 15.625
r =³√15.625
r = 2.5
Radius of sphere is 2.5 cm
Diameter of the sphere = radius × 2 = 2.5× 2 = 5 cm
Hence ,the Diameter of the sphere = 5 cm.
HOPE THIS WILL HELP YOU..