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8 votes
8 votes
What is the diameter of a hemisphere with a volume of

62617
cm
3
,
62617 cm

What is the diameter of a hemisphere with a volume of 62617 cm 3 , 62617 cm-example-1
User Tamas Kovacs
by
2.9k points

2 Answers

21 votes
21 votes

Answer:

62.1

Explanation:

→ Set up an equation


(2)/(3) × π × r³ = 62617

→ Divide both sides by π


(2)/(3) × r³ = 19931.61014

→ Divide both sides by
(2)/(3)

r³ = 29897.41521

→ Cube root both sides

r = 31.03686742

→ Double the answer to find the diameter

31.03686742 × 2 = 62.1

User Zerg
by
2.7k points
9 votes
9 votes

Answer:

Explanation:

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 centimeters)

User Mwlebour
by
3.2k points