QUESTION IMAGE
Question
what is the volume of this sphere?
round your answer to the nearest hundredth.
17.9 m
cubic meters
Step1: Identify radius
The radius \( r = 17.9 \, \text{m} \)
Step2: Volume formula for sphere
Volume \( V = \frac{4}{3}\pi r^3 \)
Step3: Substitute radius
\( V = \frac{4}{3}\pi (17.9)^3 \)
Step4: Calculate \( 17.9^3 \)
\( 17.9^3 = 17.9 \times 17.9 \times 17.9 = 5735.339 \)
Step5: Compute volume
\( V = \frac{4}{3}\pi \times 5735.339 \approx \frac{4}{3} \times 3.1416 \times 5735.339 \approx 24021.84 \)
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24021.84 cubic meters