What is the measure in degrees of each exterior angle of a regular hexagon?
2 answers:
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Answer:
The volume of the geometric solid produced is 391 cubic cm ⇒ A
Step-by-step explanation:
<em>When a </em><em>right triangle is rotated about its vertical leg 360°</em><em>, then it formed </em><em>a cone</em><em> its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle.</em>
The rule of the volume of the cone is V = π r² h, where
- r is the radius of its base
- h is the length of its height
∵ Triangle XYZ is rotated 360° about the vertical side YZ
∴ It formed a cone with a radius = XZ and a height = YZ
∵
∵ YX = 6√3
∴
∵ tan(60) = √3
∴ = √3
→ By using cross multiplication
∴ 6√3 = XZ(√3)
→ Divide both sides by √3
∴ 6 = XZ
∵ XZ = r and YZ = h
∴ r = 6 and h = 6√3
→ By using the rule of the cone above
∵ V = (π) (6)² (6√3)
∴ V ≅ 391 cm³
∴ The volume of the geometric solid produced is 391 cubic cm
The numbers going to the left on a number line means the values are smaller and the numbers going to the right means the values are bigger.
Take the value '0' for example, the value on the right of zero is '1', which is a value bigger than zero, and the value to the left of '0' is '-1', which is a value smaller than zero.
Take the value '0' for example, the value on the right of zero is '1', which is a value bigger than zero, and the value to the left of '0' is '-1', which is a value smaller than zero.