If a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1) is rotated about the line x = 1, what will be the r
esulting three-dimensional object?
2 answers:
Answer:
The resulting three-dimensional object will be a cone
Step-by-step explanation:
Plot the figure to better understand the problem'
we have
a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1)
The draw in the attached figure
we know that
When rotating a a right triangle about a leg, the three dimensional figure formed is a cone
The radius of the cone will be equal to the base of right triangle and the height of the cone will be equal to the height of the triangle
so
The radius of the cone will be equal to 2 units and the height of the cone will be 3 units
see the attached figure to better understand the problem
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Answer:
Explanation:
Volume of right rectangular prism is same as volume of cuboid
Length = 22.9 meters
Width = 7.5 meters
Height = 4.6 meters
Volume of right rectangular prism = Length × Width × Height
= 22.9 × 7.5 × 4.6
= 22.9 × 34.5
= 790.05 meter³
= 790 meter³