Find the Volume of the Described Solid $y = 5 \cos x$

question 50

Multiple Choice

Find the volume of the described solid.
-The base of a solid is the region between the curve $y = 5 \cos x$ and the $x$ -axis from $x = 0$ to $x = \pi / 2$ . The cross sections perpendicular to the $x$ -axis are isosceles right triangles with one leg on the base of the solid.

• A) \(\frac { 25 } { 8 } \pi\)
• B) \(6 \pi\)
• C) \(\frac { 5 } { 2 } \pi\)
• D) \(\frac { 25 } { 4 } \pi\)

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Definitions:

Large-Scale Farming

Agricultural operations that involve vast areas of land and significant levels of production, often utilizing industrial methods.

Rangeland Management

The practice of overseeing and maintaining the ecological health and productivity of rangelands to support livestock, wildlife, and ecological diversity.

Livestock Productivity

The rate of meat, milk, or other products produced by farm animals, an important factor in agricultural efficiency and economic performance.

Soil Conservation

The set of practices used to prevent soil erosion and degradation and to preserve its fertility.