Evaluate the Spherical Coordinate Integral A) $1200 \pi$ B) $2400 \pi$ C) $720 \pi$

question 163

Multiple Choice

Evaluate the spherical coordinate integral.
- $\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \pi / 3 } \int _ { 4 \sec \varphi } ^ { 8 \sec \varphi } \varrho ^ { 3 } \sin \varphi \cos \varphi \mathrm { d } \operatorname { d } \varphi \mathrm { d } \theta$

• A) \(1200 \pi\)
• B) \(2400 \pi\)
• C) \(720 \pi\)
• D) \(1440 \pi\)