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Find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary​

Find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if-example-1

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5 votes

Answer:

4187.31 yd³ is thr volume of a fugure

User Wesley Rice
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8.4k points
2 votes

9514 1404 393

Answer:

1487.31 yd³

Explanation:

The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.

The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.

The volume of a cylinder is πr²h.

The total volume of this figure is ...

V = (2/3)πr³ + πr²h

V = πr²(2/3r +h)

V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³

The volume of the figure is about 1487.31 yd³.

User Alessander Franca
by
8.2k points

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