Question

Amy and Belinda each roll a sheet of 6-inch by 8-inch paper to form a cylindrical tube. Amy tapes the two 8-inch sides together without overlap. Belinda tapes the two 6-inch sides together without overlap. What is $\pi$ times the positive difference of the volumes of the two tubes

Answer 1

Answer:

ΔV = 24*π   inches

Step-by-step explanation:

Amy Tube volume   =  V₁    the 6 inches sides will shape the circumference of area   A₁ = π*r²  

A₁ = π*(3)²    and

V₁ =  π*r²*h₁

V₁ = π*(3)²*8

V₁ = 72*π

In the case of Belinda, r will be 4 inches and h₂ = 6  and V₂

V₂ = A₂*h₂

V₂ =  π*(4)²*6

V₂ = 96* π

Then differences of the volumes is

V₂  -  V₁  =  ΔV = 96*π - 72*π

ΔV = 24*π   inches