Find the volume of a right circular cone that has a height of 13.8ft and a base with a radius of 7.8ft. Round your answer to the nearest tenth of a cubic foot.

Use Volume Formula: First, we need to use the formula for the volume of a cone, which is V = (1/3)πr²h. Here, r is the radius of the base and h is the height of the cone. Substitute Given Values: Substitute the given values into the formula. The radius r = 7.8 ft and the height h = 13.8 ft. So, V = (1/3)π(7.8)²(13.8). Calculate Radius Square: Calculate the square of the radius: 7.8² = 60.84. Plug Value Back: Now, plug this value back into the volume formula: V = (1/3)π(60.84)(13.8). Multiply Radius by Height: Multiply 60.84 by 13.8 to get 839.592. Multiply by Pi: Now, multiply this result by π (approximately 3.14159): 839.592 × 3.14159 = 2638.321. Find Final Volume: Finally, multiply by 1/3 to find the volume: 2638.321 × (1/3) = 879.4 cubic feet.

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Find the volume of a right circular cone that has a height of $\newline$ $13.8\,\text{ft}$ and a base with a radius of $7.8\,\text{ft}$ . Round your answer to the nearest tenth of a cubic foot. $\newline$

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Q. Find the volume of a right circular cone that has a height of

\newline

13.8\,\text{ft}

and a base with a radius of

7.8\,\text{ft}

. Round your answer to the nearest tenth of a cubic foot.

\newline

Use Volume Formula: First, we need to use the formula for the volume of a cone, which is $V = \frac{1}{3}\pi r^2 h$ . Here, $r$ is the radius of the base and $h$ is the height of the cone.
Substitute Given Values: Substitute the given values into the formula. The radius $r = 7.8$ ft and the height $h = 13.8$ ft. So, $V = \frac{1}{3}\pi(7.8)^2(13.8)$ .
Calculate Radius Square: Calculate the square of the radius: $7.8^2 = 60.84$ .
Plug Value Back: Now, plug this value back into the volume formula: $V = \frac{1}{3}\pi(60.84)(13.8)$ .
Multiply Radius by Height: Multiply $60.84$ by $13.8$ to get $839.592$ .
Multiply by Pi: Now, multiply this result by $\pi$ (approximately $3.14159$ ): $839.592 \times 3.14159 = 2638.321$ .
Find Final Volume: Finally, multiply by $\frac{1}{3}$ to find the volume: $2638.321 \times \left(\frac{1}{3}\right) = 879.4$ cubic feet.