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The radii of two circular cylinders are in the ratio 2 3 and their height are in ratio 5 4 calculate the ratio of their volumes?
Let the radius of the first be 2r; then the radius of the second is 3r
Let the height of the first be 5h; then the height of the second is 4h
volume cylinder = π × radius² × height
→ volume first = π × (2r)² × 5h = 20πr²h
→ volume second = π × (3r)² × 4h = 36πr²h
→ ratio of their volumes is:
20πr²h : 36πr²h
= 20 : 36 (divide by πr²h)
= 5 : 9 (divide by 4)
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