Given that the dilation factor or scale factor between the two spheres is equal to 3:7, the ratio between their volumes is calculated by cubing the numbers in the ratio. That is, 3³:7³ This operation will give us an answer of 27:343
convert all of these to a common denominator: 7/12 , 1/3 , 2/3 --- 7/12 = 7/12 1/3 = 4/12 2/3 = 8/12 --- place into compound inequality: --- (1/3=4/12) < (7/12=7/12) < (2/3=8/12)
let's bear in mind that sin(θ) in this case is positive, that happens only in the I and II Quadrants, where the cosine/adjacent are positive and negative respectively.
