Question14. [0.5/1 Points] DETAILS MY NOTES SCALC9 5.3.064. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER
Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters). You discover that both napkin rings have the same height ih, as shown in the figure. (Let $a=7$.) (a) Which ring has more wood in it? The napkin ring created by drilling a hole with the larger radius has more wood in it. The amount of wood in each napkin ring is the same regardless of the size of the sphere used. The napkin ring created by drilling a hole with the smaller radius has more wood in it. (b) Use cylindrical shells to compute the volume $V$ of a napkin ring of height $7 h$ created by driling a hole with radius $r$ through the center of a sphere of radius $R$ and express the answer in terms of $h$. $v=$ $\square$
Need Help? Read It Submit Answer