Answered

a solid cylinder with radius 7cm and height 5cm is melted down and recast into a spherical ball. calculate to 2decimal place the radius of the ball?​



Answer :

reinhard10158

Step-by-step explanation:

I assume the ball is solid too.

so, both objects must have the same volume.

the volume of the cylinder is

base area × height = pi×7² × 5 = 49pi × 5 = 245pi =

= 769.6902001... cm³

the volume of the ball is

4/3 × pi×r³ = 245pi

4/3 × r³ = 245

4×r³ = 735

r³ = 735/4 = 183.75

r = cubic root(183.75) = 5.685156826... ≈ 5.69 cm

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