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What is the radius of a cone with a volume of 96π cubic inches and a height of 18 inches? 1. rewrite the formula using the base area: 2. substitute the values into formula: 3. simplify the right side: 4. undo the multiplication of 6π: 5. undo the square: what is the radius of the cone? inches v = one-third pi r squared h. 96 pi = one-third pi r squared (18). 96 pi = 6 pi r squared. 16 = r squared. startroot 16 endroot = startroot r squared endroot.

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Lanuel

Based on the calculations, the radius of this cone is equal to 4 inches.

How to calculate the radius of a cone?

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × r²h

Where:

  • h is the height.
  • r is the radius.

Making r the subject of formula, we have:

r = √(3V/πh)

Substituting the given parameters into the formula, we have;

r = √(3 × 96π/π × 18)

r = √(288/18)

r = √16

Radius, r = 4 inches.

Read more on radius here: https://brainly.com/question/10584345

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