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Question
to find the volume of a sphere, you need to know its: a. surface area b. diameter c. circumference d. radius a sphere has a diameter of 12 cm. what is its radius? a. 3 cm b. 24 cm c. 12 cm d. 6 cm
Step1: Recall the formula for the volume of a sphere
The formula for the volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\), where \(r\) is the radius. So, to find the volume of a sphere, we need to know its radius.
Step2: Use the relationship between diameter and radius
The relationship between diameter \(d\) and radius \(r\) is \(r = \frac{d}{2}\). Given \(d = 12\) cm, then \(r=\frac{12}{2}=6\) cm.
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For the first question: d. Radius
For the second question: d. 6 cm