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Basile [38]
3 years ago
15

A cylindrical tube contains two tennis balls. The radius of each tennis ball is 3.75 cm. The tennis balls touch the sides, top a

nd bottom of the tube. Calculate the volume of the empty space inside the tube.

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0
Alrighty
vsphere=(4/3)pir^3
vcylinder=hpir^2

vempty=vcylinder-2vsphere

first the cylinder volume
ok, the height=2 times the diameter=2 times 2 times radius=4 times 3.75=15 cm
the radius is 3.75
v=15pi3.75^2
v=15pi14.0625
v=210.9375pi


vsphere=(4/3)pir^2
vsphere=(4/3)pi3.75^2
vsphere=(4/3)pi14.0625
vsphere=(56.25/3)pi
vsphere=18.75pi
2vsphere=37.5pi cm^3

so vcylinder-2vsphere= 210.9375pi cm^3-37.5pi cm^3=173.4375pi cm^3
using pi=3.141592
vempty=544.8698625 cm^3
about 545 cm³
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