Question

is the height of a cone and cylinder are in the ratio of 1 ratio 4 and their radii of their bases are in the ratio 4 ratio 1 then the ratio of their volumes is​

Answer 1

Answer:

4:3

Step-by-step explanation:

Let, the height of the cone = h = 1

The height of the cylinder = H = 4

Radius of the cone = R = 4

and radius of the cylinder = r = 1

So, Volume of cone / Volume of cylinder

= (1/3×pi×R²h) / (pi×r²H)

= (1/3×R²h) / (r²H)

= (1/3×4²×1) / (1²×4)

= 16/(4×3)

= 4/3

So, the ratio of the volumes of cone and the cylinder is 4:3.