Question

A metallic cylinder of diameter 5 cm and height 3 5 cm, is
Welted and casted into a sphere. Find the radius of sphere.
​

Answer 1

V of Cylinder = π *2.5*2.5*3.5

V of cylinder = V of sphere

π*2.5*2.5*3.5= 4/3*πr*r*r

6.25*3.5*3/4= r^3

16.40= r^3

r = 3√16.40

Answer 2

$<u>Main Concept : Volume of Cylinder =Volume of Sphere</u>$

Given:Radius of Cylinder is =5/2

Height is =35cm

Volume of Cylinder is 1/3 π×r^2×h

=1/3×π×5/2×5/2×35

=875π/12

Volume of Spheres= 4/3π×r^3

So, 4/3π×r^3=875/12×π

=>r^3=3×875/4×12

=>r^3=875/16

=>r^3 =54.6875

From here u solve plzz