ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

  • google app store apple app store
  • тЬЦ

      Question

      The outer radius of a spherical shell is 8 cm, and the

      thickness of the shell is 2 cm. Find the volume of the metal used for the shell (in cubic cm). (Use ╧А = 22/7)
      A 1720.19 Correct Answer Incorrect Answer
      B 1718.19 Correct Answer Incorrect Answer
      C 1812.19 Correct Answer Incorrect Answer
      D 1240.38 Correct Answer Incorrect Answer

      Solution

      Given: Outer radius (R) = 8 cm Thickness of shell = 2 cm So, inner radius (r) = 8 тИТ 2 = 6 cm Volume of metal used = Volume of outer sphere тИТ Volume of inner sphere Formula for volume of a sphere: V = (4/3) ├Ч ╧А ├Ч r┬│ So, Volume of metal = (4/3) ├Ч ╧А ├Ч (R┬│ тИТ r┬│) = (4/3) ├Ч (22/7) ├Ч (8┬│ тИТ 6┬│) = (4/3) ├Ч (22/7) ├Ч (512 тИТ 216) = (4/3) ├Ч (22/7) ├Ч 296 Now calculate: 4 ├Ч 22 ├Ч 296 = 26048 So, Volume = 26048 / 21 cubic cm тЙИ 1240.38 cubic┬аcm┬│

      Practice Next
      More Mensuration Questions

      Relevant for Exams:

      ask-question