how many balls ,each of radius 1 cm can be made from a solid sphere of lead of radius 8 cm?
Answers
Answer:
The nucleoid (meaning nucleus-like) is an irregularly shaped region within the prokaryotic cell that contains all or most of the genetic material.[1][2][3] The chromosome of a prokaryote is circular, and its length is very large compared to the cell dimensions needing it to be compacted in order to fit. In contrast to the nucleus of a eukaryotic cell, it is not surrounded by a nuclear membrane. Instead, the nucleoid forms by condensation and functional arrangement with the help of chromosomal architectural proteins and RNA molecules as well as DNA supercoiling. The length of a genome widely varies (generally at least a few million base pairs) and a cell may contain multiple copies of it.
Answer
Volume of the spherical ball of radius 8 cm
=34π×83cm3
Also, volume of each smaller spherical ball of radius 1 cm
=34π×13cm3
Let n be the number of smaller balls that can be made. Then, the volume of the larger ball is equal to the sum of all the volumes of n smaller balls.
Hence, 34π×n=34π×83
⇒n=83=512
Hence, the required number of balls =512