forshee7384 forshee7384
  • 22-04-2020
  • Mathematics
contestada

What is the radius of a hemisphere with a volume of 49037 ft", to the nearest tenth

of a foot?

Respuesta :

Newton9022 Newton9022
  • 25-04-2020

Answer:

28.6 ft

Step-by-step explanation:

Given an hemisphere of volume [tex]49037 ft^3[/tex]

Volume of a Hemisphere of radius r [tex]=\frac{2}{3}\pi r^3[/tex]

Therefore:

[tex]\frac{2}{3}\pi r^3=49037 \\r^3=49037 X \frac{3}{2 \pi}\\r=\sqrt[3]{49037 X \frac{3}{2 \pi}} \\r=28.6\: foot[/tex]

The radius of the hemisphere is 28.6 foot to the nearest tenth.

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