The radius of the large sphere is double the radius of thesmall sphereHow many times is the volume of the large sphere than thesmall sphere?a.2 b.4 c.6 d.8
Accepted Solution
A:
Answer:d. 8Step-by-step explanation:The volume of a sphere = 4/3πr³Let the radius of the smaller sphere be r, then the volume of the large sphere will be 2 rFinding the volumes of the 2 gives:volume of large sphere = 4/3π (2r)³= 32/3πr³Volume of the smaller sphere = 4/3πr³Dividing the two volumes we get the ratio of their volumes32/3πr³÷4/3πr³= 8