The expression that represents the volume, in cubic units, of the shaded region of the composite figure is option: A. One-half(14)(10)(8) – π(2.52)(8).
How to find the volume of a prism?
If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base,
then its volume is:
V = B x h
where h is the height of that prism and B is the area of the base of that prism.
Given:
Base side length =14 and 10 units
Height=8 units
Diameter=5 units
The volume of the shaded region is;
Expression = 1-( half 14)(10)(8) - π(2.52)(8)
Expression = 1-(7) (10)(8) - π(2.52)(8)
Expression = 1- (560)- 63.33
Expression = -559-63.33
Expression = -622.33
Hence, The expression that represents the volume, in cubic units, of the shaded region of the composite figure is option: A. One-half(14)(10)(8) – π(2.52)(8).
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