Suppose the volume of a solid is given by $V = \int _ { 0 } ^ { 3 } \int _ { 0 } ^ { ( 3 - z ) / 2 } \int _ { 0 } ^ { 4 - x ^ { 2 } } d y d x d z$ .(a) Sketch the solid whose volume is given by V . (b) Evaluate the integral to find the volume of the solid.

Question

Suppose the volume of a solid is given by $V = \int _ { 0 } ^ { 3 } \int _ { 0 } ^ { ( 3 - z ) / 2 } \int _ { 0 } ^ { 4 - x ^ { 2 } } d y d x d z$ .(a) Sketch the solid whose volume is given by V .  (b) Evaluate the integral to find the volume of the solid.

Quizplus · Accepted Answer

The Answer of Suppose the volume of a solid is given by $V = \int _ { 0 } ^ { 3 } \int _ { 0 } ^ { ( 3 - z ) / 2 } \int _ { 0 } ^ { 4 - x ^ { 2 } } d y d x d z$ .(a) Sketch the solid whose volume is given by V .  (b) Evaluate the integral to find the volume of the solid.

Suppose the Volume of a Solid Is Given By V=∫03∫0(3−z)/2∫04−x2dydxdzV = \int _ { 0 } ^ { 3 } \int _ { 0 } ^ { ( 3 - z ) / 2 } \int _ { 0 } ^ { 4 - x ^ { 2 } } d y d x d zV=∫03​∫0(3−z)/2​∫04−x2​dydxdz

Suppose the Volume of a Solid Is Given By $V = \int _ { 0 } ^ { 3 } \int _ { 0 } ^ { ( 3 - z ) / 2 } \int _ { 0 } ^ { 4 - x ^ { 2 } } d y d x d z$