A cylinder A, with a base of radius r cm and a height of h cm, can hold 200 cm³ of liquid. Find the capacity of another cylinder B, whose base radius is 50% more than that of A, and whose height is 50% less than that of A.
A. 150 cm^3
B. 200 cm^3
C. 225 cm^3
D. 225 pi cm^3
A. 150 cm^3
B. 200 cm^3
C. 225 cm^3
D. 225 pi cm^3
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Answer:
C. 225cm³
Step-by-step explanation:
Formula: V = πr²h
Get the relationship of the two cylinders using the formula
Va = πr²h
Vb = π(1.5r)²(0.5h)
Vb = 1.125πr²h
Vb = 1.125Va
Since you are given Va then we just have to substitute the value
Va = 200cm³
Vb = 1.125(200cm³)
Vb = 225cm³