If a cylinder of radius 3cm and height 10cm is melted and recast into the shape of small spheres of diameter 1cm then number of spheres so formed is_____.
Plz answer with full explanation
Answers
Answered by
7
volume of.cylinder =πr^2h=
πx3^2 x 10=90π
No. of spheresformed
= 90π/4/3πx. 5^3
= 90πx3/4πx.125=540 Nos. Ans
Answered by
13
Answer:
540
Step-by-step explanation:
Volume Of cylinder = πR²H
R = Radius of Cylinder = 3 cm
H = Height of cylinder = 10 cm
Volume of Cylinder = π * 3² * 10 = 90π cm³
Volume Of Sphere = (4/3) πR³
R = Radius of Sphere = Diameter/2 = 1/2 cm
Volume Of Sphere = (4/3)π (1/2)³ = π/6 cm³
Number Of spheres = Volume of cylinder / Volume of Sphere
=> Number Of spheres = 90π / (π/6 ) = 540
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