Question

A cylinder and cone are of same radius and same height. The ratio of the volume of cylinder to cone is.... 

a)1: 3

b)3 : 1

c)1 : 4

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Answer 1

Answer:

b answer is correct

Step-by-step explanation:

hope its helpful

Answer 2

Answer:

1:3

Since a given cone and a cylinder have the same radius r and height h, then the ratio of their volumes is:

Since a given cone and a cylinder have the same radius r and height h, then the ratio of their volumes is:V(cone)/V(cylinder) = [(1/3)πr²h]/(πr²h)

Since a given cone and a cylinder have the same radius r and height h, then the ratio of their volumes is:V(cone)/V(cylinder) = [(1/3)πr²h]/(πr²h)= (1/3)(π/π)(r²/r²)(h/h)

Since a given cone and a cylinder have the same radius r and height h, then the ratio of their volumes is:V(cone)/V(cylinder) = [(1/3)πr²h]/(πr²h)= (1/3)(π/π)(r²/r²)(h/h)= (1/3)(1)(1)(1)

Since a given cone and a cylinder have the same radius r and height h, then the ratio of their volumes is:V(cone)/V(cylinder) = [(1/3)πr²h]/(πr²h)= (1/3)(π/π)(r²/r²)(h/h)= (1/3)(1)(1)(1)= 1/3

Since a given cone and a cylinder have the same radius r and height h, then the ratio of their volumes is:V(cone)/V(cylinder) = [(1/3)πr²h]/(πr²h)= (1/3)(π/π)(r²/r²)(h/h)= (1/3)(1)(1)(1)= 1/3Therefore, for a cone which has the same radius and height as a cylinder, we see that the volume of the cone is one-third (1/3) the volume of the cylinder.