Question

22. Find the difference between the volume of the cylinder and the volume of the rectangular box below. Round your answer to the nearest cubic Inch. (1) 26 (2) 68 (3) 47 (4) 52 (5) 38

Answer 1

hello

to solve this question, we need to find the indivdual volumes and then find the difference between them.

1. let's find the volume of the cylinder first

`\begin{gathered} v=\pi r^2h \\ \pi=3.14 \\ r=3in \\ h=7in \\ v=\pi r^2h \\ v=3.14*3^2*7 \\ v=3.14*9*7 \\ v=197.82in^3 \end{gathered}`

volume of the cylinder is equal to 197.82in^3

next we solve the volume of the cubiod

`\begin{gathered} v=l* b* h \\ l=5in \\ b=4in \\ h=8in \\ v=5*4*8=160in^3 \end{gathered}`

the volume of the cubiod is equal to 160in^3

now we can proceed to find the difference (d) between the two figures

`\begin{gathered} d=197.82-160 \\ d=37.82\approx38 \end{gathered}`

the difference between the volume of two figures is approximately 38in^3