Answer:
C. 125 : 1
Step-by-step explanation:
V(A) : V(B) = [r(a)]³ : [r(b)]³ = 15³ : 3³ = (5*3)³: 3³ = (5³*3³) : 3³ = 5³ : 1 = 125:1
The required ratio of the volume of Pot A to Pot B is 25:1. None of the options is correct.
Sergio has two similar cylindrical pots, Pot A and Pot B.
The radius of Pot A is 15 inches, and the radius of Pot B is 3 inches.
What is the ratio of the volume of Pot A is to be determined.
Volume is defined as the ratio of the mass of object to its density.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
The volume of cylindrical Pot A = πr²h
= 15²πh
= 225πh
similarly
The volume of cylindrical Pot b = 9πh
Ratio = Volume of cylindrical Pot A / Volume of cylindrical Pot b
= 225πh / 9πh
= 25/1
Thus, the required ratio of the volume of Pot A to Pot B is 25:1
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