emmanegrete14
emmanegrete14 emmanegrete14
  • 04-05-2020
  • Mathematics
contestada

Find radius of a hemisphere given volume of 144 cm³

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 04-05-2020

Answer:

The radius is 4.097396898

Step-by-step explanation:

A hemisphere is 1/2 of a sphere so the volume is 1/2 of the volume

V = 1/2 ( 4/3 pi r^3)

   = 2/3 pi r^3

144 = 2/3 pi r^3

Multiply each side by 3/2

3/2 *144 = 3/2 * 2/3 pi r^3

216 = pi r^3

Divide each side by pi

216/ pi =   pi r^3/pi

68.78980892 = r^3

Take the cube root of each side

(68.78980892 )^1/3= (r^3)^1/3

4.097396898 = r

The radius is 4.097396898

Answer Link

Otras preguntas

What is the perimeter of 4' square?
The agency that first began funding the internet was called the ________.
30 inch is increased by 30%
whats the right answer? please zoom in
Which of the following represents the most accurate estimation of 54 - 16?
A group of workers can plant 5/8 acres in 4/5 days. what the unit rate in acres per day
Factor completely. 5x^2 - 45
Which correctly lists the three factors of production in a capitalist economy? A. land, labor, and a laissez-faire economy B. socialism, labor, and capital C.
The expression 4x gives the perimeter of a square with a side length of x units. what is the perimeter of a square with a side length of 5/7 units?
When was the pure food and drug act passed?