Question

Please help me solve with step by step solution. Thank you!

Answer 1

9514 1404 393

Answer:

• formula: h = 3V/(πr²)
• height: 6 cm

Explanation:

Formula:

To solve the formula for height, multiply both sides by the inverse of the coefficient of h.

`\left((3)/(\pi r^2)\right)\cdot V=\left((3)/(\pi r^2)\right)\cdot\left((\pi r^2)/(3)\right)\cdot h\\\\\boxed{h=(3V)/(\pi r^2)}`

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Height:

Fill in the given values and do the arithmetic.

`h=\frac{3\cdot 32\pi\text{ cm$^3$}}{\pi(4\text{ cm})^2}=\boxed{6\text{ cm}}`