What is the equation to find the volume of a cone with a height of 7 ft and a radius of 4 ft?

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

Volume (V) = (1/3) × π × r² × h

Where:

• V is the volume of the cone.
• r is the radius of the base of the cone.
• h is the height of the cone.
• π (Pi) is approximately 3.14159.

In your case, the cone has a radius (r) of 4 ft and a height (h) of 7 ft. Plugging these values into the formula gives:

V = (1/3) × π × (4 ft)² × (7 ft)

Calculating this step by step:

1. Calculate the radius squared: (4 ft)² = 16 ft²
2. Now plug this value into the formula: V = (1/3) × π × 16 ft² × 7 ft
3. Multiply 16 ft² by 7 ft: 16 ft² × 7 ft = 112 ft³
4. Now multiply by π: V = (1/3) × π × 112 ft³
5. Finally, compute the volume: V ≈ (1/3) × 3.14159 × 112 ft³ ≈ 117.81 ft³ (approximately)

So, the volume of the cone is approximately 117.81 cubic feet.