Identify the Surface $x ^ { 2 } = y ^ { 2 } + z ^ { 2 }$

question 93

Multiple Choice

Identify the surface $x ^ { 2 } = y ^ { 2 } + z ^ { 2 }$ .

• A)ellipsoid but not a sphere
• B)hyperboloid of one sheet
• C)hyperboloid of two sheets
• D)cylinder
• E)sphere
• F)elliptic but not circular paraboloid
• G)cone
• H)circular paraboloid (figure of revolution)

---

Definitions:

Equivalent Ratio

A ratio that has the same value when compared to another ratio, essentially representing the same proportional relationship.

Equivalent Ratio

A way to express the same relationship between two quantities as a ratio, even if the numbers in the ratio are different.

Ratio

A numerical correlation that displays how frequently the first number encompasses the second, indicating the magnitude of one number in relation to another.

Ratio

A connection between two figures that shows how often the first figure includes the second one.