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Quick I Need Help Thank You I Wil Give Branliest class=

Sagot :

AKumar

Answer:

60π

Step-by-step explanation:

Volume of a cone is π * (radius²) * (height / 3)

radius = 1/2 diameter = 1/2 * 12 = 6

=36π * 5/3

= 36π*5

      3

= 60π

Answer:

[tex]\boxed {\boxed {\sf 60 \pi , 188.4, \ or \ 188.495559 \ m^3}}[/tex]

Step-by-step explanation:

The formula for the volume of a cone is:

[tex]v=\frac{1}{3} \pi r^2h[/tex]

First, we must find the radius. The diameter is 12 meters and the radius is half of the diameter.

  • r= d/2
  • r= 12 m /2
  • r= 6 m

The radius is 6 meters and the height is 5 meters.

[tex]v=\frac{1}{3} \pi (6 \ m)^2 (5 \ m )[/tex]

Solve the exponent.

  • (6 m)²= 6 m * 6 m = 36 m²

[tex]v=\frac{1}{3} \pi (36 \ m^2) (5 \ m )[/tex]

Multiply the numbers in parentheses.

[tex]v=\frac{1}{3} \pi (180 \ m^2)[/tex]

Multiply by 1/3 or divide by 3.

[tex]v= 60 \pi \ m^3[/tex]

There are 3 ways to finish solving this.

1. In Terms of Pi

Leave the answer as it is, with pi included: [tex]v= 60 \pi \ m^3[/tex]

2. Using 3.14 as Pi

[tex]v= 60 (3.14) \ m^3 =188.4 \ m^3[/tex]

3. Using the Pi Button on a calculator

[tex]v=60 (3.14159265) \ m^3=188.495559 \ m^3[/tex]

The volume of the cone is 60π, 188.4, or 188.495559 cubic meters.

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