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3. find the volume of the sphere. round to the nearest tenth. given: ra…

Question

  1. find the volume of the sphere. round to the nearest tenth. given: radius = 5cm

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$.

Step2: Substitute radius value

Substitute $r = 5$ into the formula: $V=\frac{4}{3}\pi(5)^{3}=\frac{4}{3}\pi\times125$.

Step3: Calculate the value

$V=\frac{500\pi}{3}\approx\frac{500\times 3.14159}{3}\approx523.6$ (rounded to the nearest tenth).

Answer:

$523.6$ $cm^{3}$