what is the volume of this sphere?\nround your answer to the nearest hundredth.\n10 yd\ncubic yards

Explanation:

Step1: Identify the radius of the sphere

The image shows a sphere with a radius $r = 10\text{ yd}$.

Step2: State the volume formula for a sphere

The volume $V$ is given by: $$V = \frac{4}{3}\pi r^{3}$$

Step3: Substitute the radius into the formula

$$V = \frac{4}{3} \times \pi \times (10)^{3}$$

Step4: Calculate the numerical value

$$V = \frac{4}{3} \times \pi \times 1000 = \frac{4000\pi}{3}$$ $$V \approx 4188.7902...$$

Step5: Round to the nearest hundredth

Rounding $4188.7902...$ to two decimal places gives $4188.79$.

Answer:

4188.79 cubic yards