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A cone has a base radius of 8.2

meters and a height of 12
meters. To the nearest cubic meter, what is the volume? (Use 3.14
for π
.)

User Deele
by
8.2k points

1 Answer

5 votes

Final answer:

To calculate the volume of a cone with a radius of 8.2 meters and a height of 12 meters, you apply the formula V = (1/3)πr²h. After performing the necessary calculations, the volume is found to be approximately 844 cubic meters when rounded to the nearest cubic meter.

Step-by-step explanation:

The question asks for the volume of a cone with a given base radius and height.

To find the volume of a cone, we use the formula V = (1/3)πr²h, where π is Pi (approximately 3.14), r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, the radius r = 8.2 meters and the height h = 12 meters, we get:

V = (1/3)π(8.2 m)²(12 m)

V = (1/3)×3.14×(67.24 m²)×12 m

V = (1/3)×3.14×806.88 m³

V = (1/3)×2533.2752 m³

V = 844.42507 m³

After rounding to the nearest cubic meter, we get V = 844 m³.

User Tomasito
by
8.1k points

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