Question

what is the volume of this sphere? round your answer to the nearest hundredth. 1.2 cm cubic centimeters

Explanation:

Step1: Find the radius

The diameter \(d = 1.2\) cm. The radius \(r=\frac{d}{2}\), so \(r=\frac{1.2}{2}=0.6\) cm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V = \frac{4}{3}\pi r^{3}\). Substitute \(r = 0.6\) into the formula:

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Step3: Calculate the value

Take \(\pi\approx3.14\), then \(V = 0.288\times3.14=0.90432\approx0.90\) (rounded to the nearest hundredth)

Answer:

\(0.90\)