Question

Find the volume of a sphere with a radius of 1.8 yards. Leave your answer in terms of pi. Round your answer to the nearest hundredth, if necessary. (1 point)

O 7.2pi*yd * s ^ 3

O 24.43pi*yd * s ^ 3

O 23.34pi*yd * s ^ 3

O 7.78pi*yd * s ^ 3

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

To find the volume of a sphere, we use the formula:

V = (4/3)πr³

where V is the volume and r is the radius of the sphere.

Given that the radius (r) is 1.8 yards, we can substitute this value into the formula:

V = (4/3)π(1.8)³

Now we calculate the volume:

V = (4/3)π(1.8 × 1.8 × 1.8)
V = (4/3)π(5.832)
V = (4/3) × π × 5.832
V = (4) × π × 1.944
V = 7.776π

Now, we round the answer to the nearest hundredth as requested:

V ≈ 7.78π

Therefore, the volume of the sphere, rounded to the nearest hundredth and in terms of pi, is approximately:

O 7.78π yd³