A surface has the shape of the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$ between $z = 0$ and $z = 1$ with the density function $\rho ( x , y , z ) = 1 - z$ . Find the mass of the surface.
A) $\sqrt { 2 } \pi$
B) $\frac { \sqrt { 2 } \pi } { 3 }$
C)$6$

D)$1$
E)$2 \sqrt { 2 } \pi$
F)$2 \pi$
G)$\frac { 2 \sqrt { 2 } \pi } { 3 }$
H)$0$

Question

A surface has the shape of the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$ between $z = 0$ and $z = 1$ with the density function $\rho ( x , y , z ) = 1 - z$ . Find the mass of the surface.
A) $\sqrt { 2 } \pi$
B) $\frac { \sqrt { 2 } \pi } { 3 }$
C)$6$

D)$1$ 
E)$2 \sqrt { 2 } \pi$
F)$2 \pi$ 
G)$\frac { 2 \sqrt { 2 } \pi } { 3 }$
H)$0$

Quizplus · Accepted Answer

The Answer of A surface has the shape of the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$ between $z = 0$ and $z = 1$ with the density function $\rho ( x , y , z ) = 1 - z$ . Find the mass of the surface.
A) $\sqrt { 2 } \pi$
B) $\frac { \sqrt { 2 } \pi } { 3 }$
C)$6$

D)$1$ 
E)$2 \sqrt { 2 } \pi$
F)$2 \pi$ 
G)$\frac { 2 \sqrt { 2 } \pi } { 3 }$
H)$0$

A Surface Has the Shape of the Cone z=x2+y2z = \sqrt { x ^ { 2 } + y ^ { 2 } }z=x2+y2​

A Surface Has the Shape of the Cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$