Answer: Tank B can hold 27.4 gallons
Step-by-step explanation:
Volume of a cylinder = πr^2h
Given that Cylindrical tank A has 9/10 of the radius and 9/10 of the height of cylindrical tank B
Let the radius of A = r
Radius of B = R
Height of A = h
Height of B = H
r = 0.9R and h = 0.9H
Volume of A = πr^2h
= π(0.9R)^2(0.9H)
= 2.29R^2H
Given that tank A can hold 20 gallons, approximately
20 = 2.29R^2H
R^2H = 20/2.29 = 8.73 ..... (1)
Volume of B = πR^2H
Substitutes R^2H in equation (1) into Volume of B
Volume of B = 3.143 × 8.73
Volume of B = 27.4 gallons
