Question

There are $13.5\mathrm{\pi }$ cubic inches of blue sand and $9\mathrm{\pi }$ cubic inches of red sand in the cylindrical container. How many cubic inches of white sand are in the container? Round your answer to the nearest tenth?

Answer 1

Step 1:Volume of whole cylindrical container = Bh

$$\begin{gathered} =\mathrm{\pi }{(1.5)}^{2}16 \\ =36\mathrm{\pi } \end{gathered}$$

Step 2: Volume of blue and red sand

$$\begin{gathered} =13.5\mathrm{\pi }+9\mathrm{\pi } \\ =22.5\mathrm{\pi } \end{gathered}$$

Volume of white sand

$$\begin{gathered} =36\mathrm{\pi }-22.5\mathrm{\pi } \\ =13.5\mathrm{\pi } \end{gathered}$$

Step 3: Substitute the value of

Volume of white sand = 42.41

Final Anser: Volume of white sand is approx 42.41 cubic inches