Question

What is the diameter of a hemisphere with a volume of 5078
`m^(3)` , to the nearest tenth of a meter?

Answer 1

• 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

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