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Find the missing dimension of the cone. Volume = 118π ft^3 Diameter = 2/3 ft Height = ?

Note: For Big Ideas Math 7th Red Accelerated 15.2 Volume of Cones

2 Answers

7 votes

Answer:

1.5 or 3/2

Explanation:

User Gavriel Cohen
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6 votes
The formula to calculate the volume of a cone is:
v = h * π * r ^ 2/3
Where,
h: height
r: radio
We then clear the value of h:
h = (3 * v) / (π * r ^ 2)
We substitute the values:
h = (3 * (118π)) / (π * ((2/3) / (2)) ^ 2)
h = 3186 ft
Answer:
The height of the cone is:
h = 3186 ft
User Warren
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5.7k points