Question

A company ships sand to customers for their aquariums. To ship the sand, they use tubes with a 4 cm radius and cut the tubes to whatever height is needed. The sand they sell has a density of 1.41 grams per cubic centimeter. If Jerry buys 2,100 grams of sand, then approximately how high will the tube be that the sand is shipped in?

Answer 1

we know that

volume of a cylinder (tube)=pi*r²*h

in this problem

r=4 cm

Volume of a cylinder (tube)=pi*4²*h------> V=16*pi*h cm³-----> equation 1

density=mass/volume------> solve for volume

volume=mass/density

mass=2,100 gr

density=1.41 gr/cm³

so

V=2,100/1.41--------> V=1,489.36 cm³-------> equation 2

equate equation 1 and equation 2

16*pi*h=1,489.36------- h=1,489.36/(16*pi)-------> h=29.63 cm

therefore

the answer is

the high of the tube will be 29.63 cm