0 mehakNewbie Asked: July 31, 20232023-07-31T09:42:57+05:30 2023-07-31T09:42:57+05:30In: CBSE 11. How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm? 0 Explain the question using formulas given in the chapter. Class 10th Cbse, RD Sharma. rd sharma class 10thsurface area and volumes Share Facebook 1 Answer Voted Oldest Recent [Deleted User] 2023-07-31T23:09:12+05:30Added an answer on July 31, 2023 at 11:09 pm Solution: Given, The radius of each spherical lead shot = r = 4/2 = 2 cm Volume of each spherical lead shot = 4/3 πr3 = 4/3 π 23 cm3 Edge of the cube = 44 cm Volume of the cube = 443 cm3 Thus, Number of spherical lead shots = Volume of cube/ Volume of each spherical lead shot = 44 x 44 x 44/ (4/3 π 23) = 2541 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions 30. A well of diameter 2 m is dug 14 m deep. The earth taken out of it ... 29. A 16 m deep well with diameter 3.5 m is dug up, and the earth from it ... 28. A path 2 m wide surrounds a circular pond of diameter 40 m. How many cubic meters ... 27. A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii ... 26. A hollow sphere of internal and external radii 2 cm and 4 cm, respectively, is melted into ...
Solution:
Given,
The radius of each spherical lead shot = r = 4/2 = 2 cm
Volume of each spherical lead shot = 4/3 πr3 = 4/3 π 23 cm3
Edge of the cube = 44 cm
Volume of the cube = 443 cm3
Thus,
Number of spherical lead shots = Volume of cube/ Volume of each spherical lead shot
= 44 x 44 x 44/ (4/3 π 23)
= 2541