Question

What is the approximate volume of the sphere? Use 3.14 to approximate pi and round your answer to the nearest hundredth if necessary. 166.67 mm³ 392.50 mm³ 523.33 mm³ 1570 mm³ Sphere with dotted line extending from middle point of sphere to edge. Line is labeled five millimeters.

Answer 1

Answer: $523.33\ mm^3$

Step-by-step explanation:

We know that the volume of sphere is given by :-

$\text{Volume}=\frac{4}{3}\pi r^3$, where r is the radius of sphere.

Given: The length of the dotted line extending from middle point of sphere to edge must be the radius of the sphere.

Now, radius of the sphere = 5 mm

The volume of the given sphere will be :-

$\text{Volume}=\frac{4}{3}\pi (5)^3\\\\\Rightarrow\ \text{Volume}=\frac{4}{3}(3.14)(125)\\\\\Rightarrow\ \text{Volume}=523.3333\approx523.33\ mm^3$