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

ΔV = 24*π inches

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