Part B.

Question

Part A
The volume of grain in the grain silo shown can be represented by the expression πr2(9.3⎯h)
. Write an equivalent expression.

FL_M80103_001A-DIG.png

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Answer 1

To write an equivalent expression for the volume of grain in the grain silo given by \(\pi r^2(9.3 - h)\), we can distribute \(\pi r^2\) to both terms in the parentheses:

\[ V = \pi r^2(9.3 - h) \]

Distributing \(\pi r^2\):

\[ V = \pi r^2 \cdot 9.3 - \pi r^2 \cdot h \]

So, the equivalent expression for the volume \(V\) is:

\[ V = 9.3\pi r^2 - \pi r^2 h \]

This represents the volume of grain in the silo.