Question

what is the volume of this sphere? round your answer to the nearest hundredth. sphere image with radius 16 cm cubic centimeters submit

Explanation:

Step1: Identify the radius

The sphere's radius \( r = 16 \, \text{cm} \)

Step2: Use volume formula for sphere

Volume formula: \( V = \frac{4}{3}\pi r^3 \)
Substitute \( r = 16 \): \( V = \frac{4}{3}\pi (16)^3 \)

Step3: Calculate the value

\( 16^3 = 4096 \), so \( V = \frac{4}{3}\pi \times 4096 \approx \frac{4}{3} \times 3.1416 \times 4096 \approx 17157.28 \)

Step4: Round to nearest hundredth

Result is already to the nearest hundredth.

Answer:

17157.28 cubic centimeters