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trintrin227
18.01.2021 •
Mathematics
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
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Ответ:
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
Ответ: