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Talja [164]
3 years ago
13

Which expression represents the volume, in cubic units, of the composite figure?

Mathematics
2 answers:
Kipish [7]3 years ago
7 0

The missing figure is attached

The expression represents the volume in cubic units of the composite figure is (Four-third)π(10)³ + π(10)²(28) ⇒ 1st answer

Step-by-step explanation:

The figure consists of

  • Two hemispheres
  • A cylinder

The volume of the hemisphere = \frac{2}{3}\pi r^{3} , where r is its radius

The volume of the cylinder = πr²h, where r is its radius and h is its height

∵ The diameter of the hemisphere s and the cylinder is 20 units

∵ The radius = \frac{1}{2} diameter

∴ The radius = \frac{1}{2} × 20 = 10 units

∵ The volume of a hemisphere = \frac{2}{3} πr³

∵ r = 10

- Substitute r by 10 in the rule

∴ The volume of a hemisphere = \frac{2}{3} π(10)³

∵ The volume of the cylinder = πr²h

∵ h = 28 and r = 10

- Substitute h by 28 and r by 10 in the rule

∴ The volume of the cylinder = π(10)²(28)

∵ The volume of the figure = 2(volume of a hemisphere) +

   volume of the cylinder

∴ The volume of the figure = 2( \frac{2}{3} )π(10)³ + π(10)²(28)

∵ 2 × \frac{2}{3} = \frac{4}{3}

∴ The volume of the figure = \frac{4}{3} π(10)³ + π(10)²(28)

The expression represents the volume in cubic units of the composite figure is (Four-third)π(10)³ + π(10)²(28)

Learn more:

You can learn more about the volume of figures in brainly.com/question/12497249

#LearnwithBrainly

andreyandreev [35.5K]3 years ago
6 0

Answer:

A

Step-by-step explanation:

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