Find the exact value of arctan (sin (pi divided by two)). For full credit, explain your reasoning.
2 answers:
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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 = , 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 = diameter
∴ The radius = × 20 = 10 units
∵ The volume of a hemisphere = πr³
∵ r = 10
- Substitute r by 10 in the rule
∴ The volume of a hemisphere = 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( )π(10)³ + π(10)²(28)
∵ 2 × =
∴ The volume of the figure = 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
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