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
The volume of the hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex] , 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 = [tex]\frac{1}{2}[/tex] diameter
∴ The radius = [tex]\frac{1}{2}[/tex] × 20 = 10 units
∵ The volume of a hemisphere = [tex]\frac{2}{3}[/tex] πr³
∵ r = 10
- Substitute r by 10 in the rule
∴ The volume of a hemisphere = [tex]\frac{2}{3}[/tex] 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( [tex]\frac{2}{3}[/tex] )π(10)³ + π(10)²(28)
∵ 2 × [tex]\frac{2}{3}[/tex] = [tex]\frac{4}{3}[/tex]
∴ The volume of the figure = [tex]\frac{4}{3}[/tex] 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
