Question

Mikayla is fillling a glass sphere with water if the diameter of the is 12 inches. what is tje minimum amount of water shevneeds to completely fill yhe sphere? Round to the nearest tenth.

Answer 1

Let's begin by identifying key information given to us:

The shape of the figure is a sphere. It has a diameter of 12 inches

If Mikayla fills the sphere completely with water, then the minimum amount water will equal the volume of the sphere

This volume is calculated as shown below:

$\begin{gathered} V=\frac{4}{3}\pi r^3 \\ diameter(D)=12in\Rightarrow radius(r)=\frac{D}{2}=\frac{12}{2}=6in \\ V=\frac{4}{3}\times3.14\times6^3 \\ V=904.32\approx904.3 \\ V=904.3in^3 \end{gathered}$

Therefore, the minimum amount of water required is 904.3 cubic inches