What is the volume in cubic m of a sphere with a radius of 4 metres?

What is the volume in cubic m of a sphere with a radius of 4 metres?

• A. 2,681
• B. 268.1
• C. 26.81
• D. 2.681

Answer: (B)

To find the volume of a sphere, the formula used is V = (4/3)πr³, where V is the volume and r is the radius of the sphere. In this case, the radius is given as 4 meters. Plugging this value into the formula, we calculate: 1. First, cube the radius: 4³ = 4 × 4 × 4 = 64 cubic meters. 2. Then, multiply by π (approximately 3.14159): V = (4/3) × π × 64 = (4/3) × 3.14159 × 64. 3. Calculating this further: V = (4 × 3.14159 × 64) / 3 ≈ (804.247) / 3 ≈ 268.083. Therefore, the volume of the sphere is approximately 268.1 cubic meters, which aligns with the choice provided. This answer is correctly identified, as it matches the calculated volume, confirming that the understanding of volume calculation for spheres is accurately applied.

To find the volume of a sphere, the formula used is V = (4/3)πr³, where V is the volume and r is the radius of the sphere.

In this case, the radius is given as 4 meters. Plugging this value into the formula, we calculate:

1. First, cube the radius:

4³ = 4 × 4 × 4 = 64 cubic meters.

2. Then, multiply by π (approximately 3.14159):

V = (4/3) × π × 64 = (4/3) × 3.14159 × 64.

3. Calculating this further:

V = (4 × 3.14159 × 64) / 3 ≈ (804.247) / 3 ≈ 268.083.

Therefore, the volume of the sphere is approximately 268.1 cubic meters, which aligns with the choice provided.

This answer is correctly identified, as it matches the calculated volume, confirming that the understanding of volume calculation for spheres is accurately applied.