10. A metallic cylinder of diameter 5 cm. and height 3 1/ 3 cm. is melted and cast into a sphere
What is its diameter.
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Answer:
let radius of sphere be R
radius of cylinder=r=5/2 cm
height of cylinder=h=31/3 cm
volume of cylinder= volume of sphere formed
22/7 x (5/2)² x 31/3= 4/3 x 22/7 x R³
25/4 x 31/3 =4/3 x R³
25/16 x 31= R³
R³= 775/16
R=1.73 cm
hence, diameter of sphere=2 x R=2 x 1.73=3.46 cm
Step-by-step explanation:
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