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Fittoniya [83]
2 years ago
9

What is the height of the cone if its volune is 8,138.88 feet CUBED? Use 3.14 for pi. (Radius of base of cone is 12 ft)

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
3 0

Answer:

h = 54 feet

Step-by-step explanation:

The equation for the volume of a cone is V = \frac{1}{3} × π × r² × h.

You have the volume, which is 8,138.88, and the radius of the base, which is 12.

V = 8,138.88

h = 12

π = 3.14

When you plug everything you know into the equation, you get:

V = \frac{1}{3} × 3.14 × r² × h.

8,138.88 = \frac{1}{3} × 3.14 × (12)² × h

After you multiply everything on the right side, you come out with:

8,138.88 = 150.72 × h

To find h, you can divide each side by 150.72.

8,138.88 ÷ 150.72 = 54 feet!

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