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FromTheMoon [43]
3 years ago
13

the figure is made up of a cylinder and a half sphere what is the volume of the composite figure use 3.14 for pi round to the ne

arest hundredth​

Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

485.9 mm³

Step-by-step explanation:

The volume of a sphere is 4/3 π r³. So the volume of a hemisphere is half of that:

<h3>V = (2 / 3) π r³</h3>

V = 128π/3

The formula for the volume of a cylinder is V = Bh or V = πr²h .

The radius of the cylinder is 4mm and the height is 7mm

Substitute 4 for r and 7 for h in the formula V = πr²h .

<h3>V=π(4)²(7)</h3>

V = 112π

Since the figure is made up of a hemisphere and cylinder so volume will be sum of these two shapes

<h3>V = 128π/3 +  112π</h3>

  = 485.9 mm³

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