Question

PLEASE HELP DUE BY 11:30 PM TONIGHT THANKS
A ball has a diameter of 9 in. It consists of 2 parts. The inside is a spherical core with a diameter of 6 in. Surrounding the core is a layer of polyurethane.

What is the volume of the polyurethane?

Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.

Answer 1

ballvolume-corevolume=polyutheanevolume

volumesphere=(4/3)pir³

diameter/2=radius
ballradius=9/2=4.5
coreradius=6/2=3
ballvolume-corevolume=
(4/3)pi4.5³-(4/3)pi3³=
(4/3)(pi)(4.5³-3³)=
(4/3)(pi)(91.125-27)=
(4/3)(pi)(64.125)=
268.47 cubic inches


yah, it is 268.47 cubic inches