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

Which ion has the same electron configuration as an atom of He? (1) H– (3) Na+ (2) O2– (4) Ca2+
Adding a catalyst to a chemical reaction results in (1) a decrease in activation energy and a decrease in the reaction rate (2) a decrease in activation energy
Partially because of the atmosphere of fear created by militarism, many European nations formed ____________ with other nations where they promised to protect e
if the perimeter of the rectangle is 48, find the dimensions
All organic compounds must contain the element (1) phosphorus (3) carbon (2) oxygen (4) nitrogen
Which element is classified as a nonmetal? (1) Be (3) Si (2) Al (4) Cl
a war between two sides of the same country
what is 3.57 as a fraction
what was the last battle of Napoleon?
What is the chemical formula for copper(II) hydroxide? (1) CuOH (3) Cu2(OH) (2) CuOH2 (4) Cu(OH)2