Question

How to find the volume of a cricular cone

Answer 1

Refer to the step-by-step explanation.

Explanation:

To find the volume of a cone, you can use the formula:

`V = \frac13 \pi r^2 h`

Where:

• "V" is the volume of the cone

• "π" (pi) is a mathematical constant approximately equal to 3.14159

• "r" is the radius of the base of the cone

• "h" is the height of the cone

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To calculate the volume, follow these steps:

(1) - Measure or determine the radius, "r," of the base of the cone.

(2) - Measure or determine the height, "h," of the cone

(3) Square the radius, "r," by multiplying it by itself.

(4) - Multiply the squared radius, "r²," by the height , "h."

(5) - Multiply the result by "π" (pi).

(6) - Divide the product by 3.

** You can skip steps (3)-(6) and just use a calculator if allowed. Especially if you need an approximated answer.

The final result will give you the volume of the cone. Make sure to use consistent units for all measurements (e.g., centimeters, inches, etc.) when calculating the volume.

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Example:

Let's say we have a cone with a radius of 5 centimeters and a height of 8 centimeters. We can find its volume using the formula:

`V = \frac13 \pi r^2 h`

Substituting the given values into the formula:

`\Longrightarrow V = \frac13 \pi (5 \ cm)^2 (8 \ cm)\\\\\\\Longrightarrow V = \frac13 \pi (25 \ cm^2) (8 \ cm)\\\\\\\Longrightarrow V = \frac13 \pi (200 \ cm^3)\\\\\\\therefore \boxed{\boxed{V=(200 \pi)/(3) \ cm^3 }}`

If we need an approximated answer, use a calculator.

`\therefore \boxed{\boxed{V \approx209 \ cm^3 }}`

Therefore, the volume of the cone is found