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:
-
Volume of the hollow sphere(
#v_h# )=
Volume of the bigger sphere (#v_1# ) - volume of the smaller sphere(#v_2# ) -
#v_1=4/3 pi r_1^3#
#=4/3 pi 5^3#
#=523.60 cm^3# -
#v_2=4/3 pi r_2^3#
#=4/3 pi 3^3#
#=113.10 cm^3# -
#v_h=523.60-113.10=410.50cm^3# -
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#
