dadwassim522 dadwassim522
  • 01-10-2020
  • Mathematics
contestada

A solid metallic sphere of radius 3 cm is melted and drawn into a cylindrical wire of radius 5 mm. Find the length of the wire.

Respuesta :

mhanifa
mhanifa mhanifa
  • 01-10-2020

Answer:

  • 144 cm

Step-by-step explanation:

Given

  • Radius of a sphere = 3 cm
  • Radius of a cylinder = 5 mm = 0.5 cm

Volume of a sphere

  • V = 4/3πr³= 4/3*3³π = 36π cm³

Volume of a cylinder

  • V = πr²h = π*0.5²h = 0.25πh cm³

Comparing volumes to get the length of the wire

  • 36π = 0.25πh
  • h = 36π/0.25π = 144 cm
Answer Link

Otras preguntas

How many flags are in this wolld ;)
How is 3x-y=8 and x+2y=5 solved by combination (addition)?????
Which ancient civilization is associated with the Twelve Tables, an extensive road system, and the poets Horace and Virgil?
Earth is a close approximation of a natural closed system.  What are some ways that living in a closed system affects each of us.
Multiply these fractions (Lowest Terms) a) 2 x 3/4 b) 3 x 3/5 c) 4 x 1/3 d) 6 x 2/5 e) 1/2 x 1/4 f) 4/5 x 2/3 g) 5/6 x 3/4 h ) 1/10 x 2/3 i) 2 1/5 x 1/
in a parallelogram one angle is 9 times the size of another. find the measures of the angles
india takes the two hour train ride from minneapolis to chicago every dummer to visit her grandparents. The train traveled 44 7/16 (thats a mixed number) mile
Which characteristic is shared by sonnets and haiku?
How is 3x-y=8 and x+2y=5 solved by combination (addition)?????
How many flags are in this wolld ;)