Find the Volume of the Solid Obtained by Intersecting the Two

question 173

Multiple Choice

Find the volume of the solid obtained by intersecting the two cones $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$ and $z = 1 - \sqrt { x ^ { 2 } + y ^ { 2 } }$ .

• A) \(\frac { \pi } { 12 }\)
• B) \(\frac { \pi } { 6 }\)
• C) \(\frac { \pi } { 4 }\)
• D) \(\frac { \pi } { 3 }\)
• E) \(\frac { \pi } { 2 }\)
• F)\(\frac { 3 \pi } { 4 }\)
• G) \(\frac { 5 \pi } { 6 }\)
• H)\(\pi\)

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Definitions:

Behaviour Modification

A technique or intervention designed to change harmful or undesirable behaviors using principles of learning theory.

Operant Principles

The processes by which behaviors are strengthened or weakened over time through the consequences they produce, including reinforcement and punishment.

Insight Training

A therapeutic technique aimed at increasing an individual's awareness of underlying motives and defenses.

Conditioned Response

A Conditioned Response is a learned reaction to a stimulus that was previously neutral but has become conditioned through association.