Question

The lengths of the base radii and the heights of a right circular cylinder and a right circular cone are equal.The ratio of their volumes is -...............​

Answer 1

Answer:

$<marquee>۰۪۫M۪۫۰۰۪۫a۪۫۰۰۪۫r۪۫۰۰۪۫k۪۫۰ ۰۪۫i۪۫۰۰۪۫t۪۫۰ ۰۪۫B۪۫۰۰۪۫r۪۫۰۰۪۫a۪۫۰۰۪۫i۪۫۰۰۪۫n۪۫۰۰۪۫l۪۫۰۰۪۫i۪۫۰۰۪۫e۪۫۰۰۪۫s۪۫۰۰۪۫t۪۫۰</marquee>$

Step-by-step explanation:

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

Therefore, for a cone which has the same radius and height as a cylinder, we see that the volume of the cone the ratio is 1:3