Question

A cylinder shaped container has a radius of 30 cm and a height of 100 cm. A glass sphere with a redius of 12 cm is placed inside the cylinder shaped container and then the container is completely filled with water. What is the approximate volume of water contained in the cylinder? Use 3.14 as an approximate for pi.
7,235 cm3

28,260 cm3

204,715 cm3

275,365 cm3

Answer 1

Vcylinder-Vsphere=water


Vcylinder=hpir^2
Vsphere=(4/3)pir^3


given

cylinderradius=30 and h=100
Vcylinder=100pi30^2=100pi900=90000pi
let's leave it in terms of pi for more exactness

sphereradius=12
Vsphere=(4/3)pi12^3=2304pi


cylinder-sphere=90000pi-2304pi=87696pi
using pi=3.14
water=275365.44 cubic cm

last option is corrrect