Find the Mass of the Solid That Occupies the Region $x ^ { 2 } + y ^ { 2 } = 1$

question 12

Multiple Choice

Find the mass of the solid that occupies the region bounded by $x ^ { 2 } + y ^ { 2 } = 1$ , z = 2, and z = 0 and has density function $\rho ( x , y , z ) = z$ .

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