Use cylindrical coordinates to find the volume of the solid inside both
$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 256$ and $( x - 8 ) ^ { 2 } + y ^ { 2 } = 64$.
A) $\frac { 8,192 } { 9 } ( 6 \pi - 7 )$
B) $\frac { 8,192 } { 9 } ( 3 \pi - 4 )$
C) $\frac { 8,192 } { 5 } ( 6 \pi - 7 )$
D) $\frac { 8,192 } { 9 } ( 3 \pi + 4 )$
E) $\frac { 8,192 } { 5 } ( 6 \pi + 7 )$

Question

Use cylindrical coordinates to find the volume of the solid inside both 
$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 256$ and $( x - 8 ) ^ { 2 } + y ^ { 2 } = 64$.
A) $\frac { 8,192 } { 9 } ( 6 \pi - 7 )$
B) $\frac { 8,192 } { 9 } ( 3 \pi - 4 )$
C) $\frac { 8,192 } { 5 } ( 6 \pi - 7 )$
D) $\frac { 8,192 } { 9 } ( 3 \pi + 4 )$
E) $\frac { 8,192 } { 5 } ( 6 \pi + 7 )$

Quizplus · Accepted Answer

The Answer of Use cylindrical coordinates to find the volume of the solid inside both 
$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 256$ and $( x - 8 ) ^ { 2 } + y ^ { 2 } = 64$.
A) $\frac { 8,192 } { 9 } ( 6 \pi - 7 )$
B) $\frac { 8,192 } { 9 } ( 3 \pi - 4 )$
C) $\frac { 8,192 } { 5 } ( 6 \pi - 7 )$
D) $\frac { 8,192 } { 9 } ( 3 \pi + 4 )$
E) $\frac { 8,192 } { 5 } ( 6 \pi + 7 )$

Use Cylindrical Coordinates to Find the Volume of the Solid x2+y2+z2=256x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 256x2+y2+z2=256

Use Cylindrical Coordinates to Find the Volume of the Solid $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 256$