If a cone and a sphere have the same radius and the same height what is the relationship among the volumes of the two shapes

Question

Ricky Jacobs

Mathematics

23 June, 04:15

If a cone and a sphere have the same radius and the same height what is the relationship among the volumes of the two shapes

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Greta Molina · Answer 1

V (cone) = πR². H/3

V (sphere) = (4/3).π. R³

Given: Same Radius and cone a nd sphere same H = 2R. Replace H with 2R

V (cone) = πR². (2R) / 3 = 2πR³/3

Then V (sphere) [ = (4/3).π. R³] = 2 V (cone) [ = 2πR³/3]