Question

find the volume of the sphere shown below. use 3.14 or the calculator value for pi and provide an answer accurate to the nearest hundredth. 15 cm label required

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as \( 15 \, \text{cm} \). The radius \( r \) is half of the diameter, so \( r=\frac{15}{2}=7.5 \, \text{cm} \).

Step2: Recall the formula for the volume of a sphere

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

Step3: Substitute the radius and \( \pi = 3.14 \) into the formula

Substitute \( r = 7.5 \) and \( \pi = 3.14 \) into the formula:

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Answer:

The volume of the sphere is \( 1766.25 \, \text{cubic centimeters} \) (or \( 1766.25 \, \text{cm}^3 \)).