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Answer:
- formula: h = 3V/(πr²)
- height: 6 cm
Step-by-step explanation:
Formula:
To solve the formula for height, multiply both sides by the inverse of the coefficient of h.
[tex]\left(\dfrac{3}{\pi r^2}\right)\cdot V=\left(\dfrac{3}{\pi r^2}\right)\cdot\left(\dfrac{\pi r^2}{3}\right)\cdot h\\\\\boxed{h=\dfrac{3V}{\pi r^2}}[/tex]
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Height:
Fill in the given values and do the arithmetic.
[tex]h=\dfrac{3\cdot 32\pi\text{ cm$^3$}}{\pi(4\text{ cm})^2}=\boxed{6\text{ cm}}[/tex]
