What is the volume of the geometric solid produced by the triangle below when it is rotated 360 degrees about the vertical axis YZ? *

The volume of the geometric solid produced is 391 cubic cm ⇒ A

Step-by-step explanation:

When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle.

The rule of the volume of the cone is V = π r² h, where

∵ 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

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

the answer is 45 i just did it on oddesy ware