The base radii of two cylinders are in the ratio 3:4 and their heights in the ratio 5:2. The volume of the first cylinder is 300 cm3. What is the volume of the second?
213.33cm3
Let the radius of cylinder 1 = r1 and height = h1
Let the radius of cylinder 2 = r2 and height = h2
Volume of cylinder1Volume of cylinder2=πr21h1πr22h2
Given: r1r2=34,h1h2=52
v1v2=πr21h1πr22h2=(r1r2)2(h1h2)
v1v2=(34)2(52)=4532
Now, v1=300 cm3
Hence 300v2=4532
v2=300×3245=3×100×8×49×5 =213.33 cm3