the radii of the bases of the cylinder and cone are in the ratio 3:1 and heights are in the ratio 3:4 . find the ratio of their volume
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Let the radius of the cylinder (r1) = 3x
Let the radius of the cone (r2) = x
Let the height of the cylinder (h1) = 3x
Let the height of the cone (h2) = 4x
Now, Ratio of the volume of cylinder and cone
➡ πr12h1 ÷ 1/3πr22h2
➡ πr12h1 × 3/πr22h2
➡ 9x2 × 3x × 3/x2 × 4x
➡ 81 : 4
Let the radius of the cone (r2) = x
Let the height of the cylinder (h1) = 3x
Let the height of the cone (h2) = 4x
Now, Ratio of the volume of cylinder and cone
➡ πr12h1 ÷ 1/3πr22h2
➡ πr12h1 × 3/πr22h2
➡ 9x2 × 3x × 3/x2 × 4x
➡ 81 : 4
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