what is the diameter of a hemisphere with a volume of 62617cm3, to the nearest tenth of a centimeter

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wolf1728 wolf1728 · Answer 1 · 2020-05-27T07:53:51+02:00

Answer:

Hemisphere Volume = (2/3) * PI * radius^3

sphere radius^3 = Hemisphere Volume / ((2/3) PI)

sphere radius^3 = 62,617 / 2.0943951024

sphere radius^3 = 29,897.4152147556

sphere radius = 31.0368674154

sphere diameter = 62.1 cm (rounded to nearest tenth of a centimeter)

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MrRoyal MrRoyal · Answer 2 · 2022-04-29T12:12:44+02:00

The diameter of the hemisphere is 62.1 cm

The volume is given as:

V = 62617

The volume of a hemisphere is:

V = (2/3)πr^3

So, we have:

(2/3)πr^3 = 62617

Multiply both sides by 3/2

πr^3 = 93925.5

Divide both sides by π

r^3 = 29897.4152148

Take the cube root of both sides

r = 31.04

Multiply by 2 to calculate the diameter

d = 62.08

Approximate

d = 62.1

Hence, the diameter of the hemisphere is 62.1 cm