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