cherlyn22discordbro cherlyn22discordbro

17-03-2022
Mathematics

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What is the diameter of a hemisphere with a volume of 5078[tex]m^{3}[/tex] , to the nearest tenth of a meter?

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mckenzieworld14 mckenzieworld14

17-03-2022

Answer:

radius r = 13.434186124834 m
base circumference C = 84.409480873471 m
volume V = 5078 m3
curved surface area A = 1133.9726767548 m2
base surface area B = 566.9863383774 m2
total surface area K = 1700.9590151322 m2

Step-by-step explanation:

Volume of a hemisphere: V = (2/3)πr3

Circumference of the base of a hemisphere: C = 2πr

Curved surface area of a hemisphere (1 side, external only): A = 2πr2

Calculate the base surface area of a hemisphere (a circle): B = πr2

Total surface area of a hemisphere: K = (2πr2) + (πr2) = 3πr2

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