Ratio of volumes

If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes?

Correct answer:

p =  14:9

Step-by-step explanation:

p1=87=0.875 p2=341.3333  p1 = h1:h2 p2 = r1:r2  V1 = π r12 h1 V2 = π r22 h2  V1 = π   (p2 r2)2   (p1 h2) V1 = π   p22 r22   p1 h2 = p22   p1   V2   p =  V1/V2  p=p22 p1=342 87=914=1951.5556=14:9

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