Answer:
H = 9 cm
Step-by-step explanation:
The volume of the cylinder equal the volume
[tex]\pi\: \: {r}^{2} \times hcy = \frac{1}{3} \pi {r}^{2} \times hco \\ hco = 9 \: cm[/tex]
The height of the cone is 9 cm.
The volume of the cylinder = The volume of the Cone
This is because the exact metal cylinder was recast into a cone.
volume = πr²h
r = 5 cm
h = 12 cm
volume = π × 5² × 12
volume = π × 25 × 12
volume = 300π
volume = 1 / 3 πr²h
r = 10 cm
h = ?
300π = 1 / 3 × π × 10² × h
300π = 100πh / 3
900π = 100πh
h = 900π / 100π
h = 9 cm
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