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julia-pushkina [17]
4 years ago
8

Help please!!!!! thank you

Mathematics
1 answer:
Alex73 [517]4 years ago
7 0

Answer:

V = (119.27 in²)(6 in) = 235.26 in³

Step-by-step explanation:

First find the area of the half circle (face only) and the area of the (face only) rectangular prism base.

The radius of this circle is 5 in, so half the area of this this circle is:

A1 = (1/2)π(5 in)², or approx. 39.27 in²

The face area of the rectangular prism is (8 in)(10 in) = 80 in²

So the total, combined face area of this solid is 119.27 in².

Now multiply this result by the depth of the solid, which is 6 in.  The result is the volume of the solid:  V = (119.27 in²)(6 in) = 235.26 in³

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