A Trough Is Filled with a Liquid of Density $855 \mathrm {~kg} / \mathrm { m } ^ { 3 }$

question 12

Multiple Choice

A trough is filled with a liquid of density $855 \mathrm {~kg} / \mathrm { m } ^ { 3 }$ . The ends of the trough are equilateral triangles with sides $7 \mathrm {~m}$ long and vertex at the bottom. Find the hydrostatic force on one end of the trough.

• A) \(2.5 \times 10 ^ { 5 } \mathrm {~N}\)
• B) \(5.5 \times 10 ^ { 5 } \mathrm {~N}\)
• C) \(4.5 \times 10 ^ { 5 } \mathrm {~N}\)
• D) \(6.5 \times 10 ^ { 5 } \mathrm {~N}\)
• E) \(3.5 \times 10 ^ { 5 } \mathrm {~N}\)

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Definitions:

Distribution

The way in which data points are spread out or distributed across various values.

Discrete

Refers to a type of quantitative variable that can assume a countable number of distinct values, often representing categories or counts.

Random Variable

A random phenomenon's numerical outcomes manifested in a variable.

Discrete Random

Refers to a type of random variable that can take on a countable number of distinct values, such as whole numbers, but not fractions.