What is the diameter of a hemisphere with a volume of
62617
cm
3
,
62617 cm

Answer:
Step-by-step 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)
Answer:
62.1
Step-by-step explanation:
→ Set up an equation
[tex]\frac{2}{3}[/tex] × π × r³ = 62617
→ Divide both sides by π
[tex]\frac{2}{3}[/tex] × r³ = 19931.61014
→ Divide both sides by [tex]\frac{2}{3}[/tex]
r³ = 29897.41521
→ Cube root both sides
r = 31.03686742
→ Double the answer to find the diameter
31.03686742 × 2 = 62.1