Question

A juice company is considering creating an extra-large can of juice.Right now, their cans have 10 a 10-inch height and a 4 inch diameter.If they want to increase the amount of juice in each can by 10%,about how much will the extra -large cans hold?

Answer 1

we know that

The volume of a cylinder is equal to

`V=\pi\cdot r^2\cdot h`

we have

r=4/2=2 in

h=10 in

assume

pi=3.14

Find out the volume

`\begin{gathered} V=3.14\cdot2^2\cdot10 \\ V=125.6\text{ in\textasciicircum{}3} \end{gathered}`

If increase the amount of juice in each can by 10%

so

100%+10%=110%=110/100=1.1

the new volume is

125.6*1.1=138.16 in^3

therefore

answer is 138 in^3