Question

3 solid spheres of the same radii are made by melting a solid metallic cylinder of base diameter 4
and height 8cm. Find the diameter of the each sphere.​

Answer 1

$⭐Answer⭐$

Step-by-step explanation:

Total volume of the 3- solid spheres

= (4/3π x3^3)+ (4/3π x4^3)+(4/3π x5^3) = 4/3π x(27+64+125)= 4/3π x 216

= 4/3πx 6^3. Cu.cm

Total surface area of the 3- spheres

(4πx 9)+(4πx16)+(4πx 25)

= 4π x 50= 200π Sq. cm.

Since the total volume of the THREE spheres = 4/3π x 6^3, the radius of the newly formed sphere = 6-cm.

The surface area of the

Big Sphere= 4π x 6^2= 144π sq.cm

The % decrease in the surface area =(200–144)π/200π x 100

=56/200 x 100

= 28 %

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