Question #cf70a

1 Answer
Mar 5, 2016

Get the volume of the hollow sphere, then plug it into the volume of a cylinder equation and find the cylinder's diameter (=14 cm).

Explanation:

  1. Volume of the hollow sphere(#v_h#)=
    Volume of the bigger sphere (#v_1#) - volume of the smaller sphere(#v_2#)

  2. #v_1=4/3 pi r_1^3#
    #=4/3 pi 5^3#
    #=523.60 cm^3#

  3. #v_2=4/3 pi r_2^3#
    #=4/3 pi 3^3#
    #=113.10 cm^3#

  4. #v_h=523.60-113.10=410.50cm^3#

  5. Volume of the cylinder (#v#)=#v_h#=#"hight" * pi *r^2#
    #410.50=8/3*pi*r^2#
    #r^2=410*3/(8pi)=49#
    #r=7 cm#
    #d=14 cm#