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