Find the volume of a right circular cone that has a height of 18.8 m and a base with a radius of 19.3 m. Round your answer to the nearest tenth of a cubic meter.

To find the volume of a right circular cone, we use the formula:

$V = \frac{1}{3} \pi r^2 h$

where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cone.

Given:

• Height ($h$) = 18.8 m
• Radius ($r$) = 19.3 m

Step-by-step calculation:

1. Square the radius: $r^2 = (19.3)^2 = 372.49$

2. Multiply by the height: $r^2 \times h = 372.49 \times 18.8 = 7002.812$

3. Multiply by $\pi$: $\pi \times 7002.812 \approx 3.14159 \times 7002.812 \approx 22000.8$

4. Divide by 3: $V = \frac{1}{3} \times 22000.8 \approx 7333.6$

So, the volume of the cone, rounded to the nearest tenth of a cubic meter, is approximately $7333.6$ cubic meters.

To find the volume of a right circular cone, we use the formula:

$V = \frac{1}{3} \pi r^2 h$

where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cone.

Given:

• Height $h = 18.8$ meters
• Radius $r = 19.3$ meters

Step-by-step calculation:

1. Square the radius: $r^2 = (19.3)^2 = 372.49$

2. Multiply the squared radius by the height: $r^2 \times h = 372.49 \times 18.8 = 7002.812$

3. Multiply the result by $\pi$: $\pi \times 7002.812 \approx 3.14159 \times 7002.812 \approx 22000.8$

4. Finally, multiply by $\frac{1}{3}$: $V = \frac{1}{3} \times 22000.8 \approx 7333.6$

So, the volume of the cone, rounded to the nearest tenth of a cubic meter, is approximately $7333.6$ cubic meters.

To find the volume of a right circular cone, we use the formula:

$V = \frac{1}{3} \pi r^2 h$

where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cone.

Given:

• Height ($h$) = 18.8 m
• Radius ($r$) = 19.3 m

Step-by-step calculation:

1. Square the radius: $r^2 = (19.3)^2 = 372.49$

2. Multiply the squared radius by the height: $r^2 \times h = 372.49 \times 18.8 = 7002.812$

3. Multiply the result by $\pi$: $\pi \times 7002.812 \approx 3.14159 \times 7002.812 \approx 22000.8$

4. Finally, multiply by $\frac{1}{3}$: $V = \frac{1}{3} \times 22000.8 \approx 7333.6$

So, the volume of the cone, rounded to the nearest tenth of a cubic meter, is approximately $7333.6$ cubic meters.

To find the volume of a right circular cone, we use the formula:

$V = \frac{1}{3} \pi r^2 h$

where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height of the cone.

Given:

• Height ($h$) = 18.8 m
• Radius ($r$) = 19.3 m

Step 1: Square the radius. $r^2 = (19.3)^2 = 372.49$

Step 2: Multiply the squared radius by the height. $r^2 \times h = 372.49 \times 18.8 = 7002.812$

Step 3: Multiply the result by $\pi$. $\pi \times 7002.812 \approx 3.14159 \times 7002.812 \approx 22000.8$

Step 4: Divide by 3 to find the volume. $V = \frac{1}{3} \times 22000.8 \approx 7333.6$

So, the volume of the cone is approximately 7333.6 cubic meters, rounded to the nearest tenth.