Respuesta :

vanessa3078

Answer:

8m

Step-by-step explanation:

Find the volume of the sphere first :

V sphere = [tex]\frac{4}{3}[/tex] π 6^3 = 902.51

Then use the volume of the sphere to find the height :

Formula = V/π[tex]r^{2}[/tex]

902.51/π(6)^2 = 8.004 (rounded is 8)

hope this helped :)

Answer:

8 m

Step-by-step explanation:

Given,

Volume of sphere = Volume of cylinder

Radius ( r ) = 6 m

Formula : -

Volume of sphere = 4/3 πr³

Note : -

The value of π is 3.14

Volume of sphere

= 4/3 x 3.14 x 6³

= 4/3 x 3.14 x 6 x 6 x 6

= 904.32 m³

Hence,

The volume of sphere is 904.32 m³.

Since,

Volume of sphere = Volume of cylinder

So,

Volume of cylinder = 904.32 m³

Formula : -

Volume of cylinder = πr²h

πr²h = 904.32

3.14 x 6 x 6 x h = 904.32

113.04 x h = 904.32

Divide 113.04 on both sides,

h = 904.32 / 113.04

h = 8 m

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