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What is the volume of a right circular cone with a radius of 4 cm and a height of 12 cm?

User Logjammin
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2 Answers

3 votes

Answer:


\displaystyle 201,0619298297...\:cm.^3

Explanation:


\displaystyle {\pi}r^2(h)/(3) = V \\ \\ 4^2\pi(12)/(3) \hookrightarrow 16\pi[4] = V; 64\pi = V \\ \\ \\ 201,0619298297... = V

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User SharkAlley
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8.8k points
5 votes

Answer:

201.06 cm^3

Explanation:

To calculate the volume of a right circular cone, you can use the formula:

Volume = (1/3) * π * r^2 * h

where:

π is the mathematical constant pi (approximately 3.14159)

r is the radius of the cone

h is the height of the cone

Substituting the given values into the formula:

Volume = (1/3) * π * (4 cm)^2 * 12 cm

Calculating the values inside the formula:

Volume = (1/3) * π * 16 cm^2 * 12 cm

Volume = (1/3) * 3.14159 * 16 cm^2 * 12 cm

Volume ≈ 201.06192 cm^3

Therefore, the volume of the right circular cone is approximately 201.06 cm^3.

User Simon Williams
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