Find the VOLUME of this composite solid.

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

8 0

Answer:

(294π +448) cm³ ≈ 1371.6 cm³

Step-by-step explanation:

The half-cylinder at the right end has a radius of 7 cm, as does the one on top. Together, the total length of these half-cylinders is 8 cm + 4cm = 12 cm. That is equivalent in volume to a whole cylinder of radius 7 cm that is 6 cm long.

The cylinder volume is ...

V = πr²h = π(7 cm)²(6 cm) = 294π cm³

The cuboid underlying the top half-cylinder has dimensions 4 cm by 8 cm by 14 cm (twice the radius). So, its volume is ...

V = LWH = (4 cm)(8 cm)(14 cm) = 448 cm³

Then the total volume of the composite figure is ...

(294π +448) cm³ ≈ 1371.6 cm³

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