Question

if the cylinder and cone are the same radius and height then how many cones full of milk can fill the cylinder? ​

Answer 1

Answer:

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

if the cylinder and cone are the same radius and height then how many cones full of milk can fill the cylinder?

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}</p><p>\mid}}}$

If the cylinder and cone has same radius and height, then 3 cones of milk can fill the cylinder.

SoLuTioN :--

If a cone of same radius, height is created from a cylinder, then Volume of cylinder = 3 * Volume of cone.

From this, We could say 3 cones full of milk would fill the cylinder.

Volume of a cone with radius r,

height h is given by

$V = \frac{1}{3} \pi {r}^{2} h$

Volume of a cylinder with radius r,

height h is given by

$v = \pi {r}^{2} h$

Let's say x cones of milk can fill the cylinder.

So v = xV

$\pi {r}^{2} h = x( \frac{1}{3} \pi {r}^{2} h ) \\ \\ \frac{ \pi {r}^{2} h }{ \pi {r}^{2} h } = \frac{x}{3} \\ \\ 1 = \frac{x}{3} \\ \\ x = 3$

$\mathfrak{\huge{\purple{\underline{\underline{Therefore}}}}}$

If the cylinder and cone has same radius and height, then 3 cones of milk can fill the cylinder.

Answer 2

Answer:

Three cones of milk can fill the cylinder

Step-by-step explanation:

Cylinder formula = pi r^h

Cone formula = 1/3 pi r^h

From the above formulas, you can see that a cone can contain only 1/3 of the cylinder, considering that the radius (r) is and height (h) of both the cylinder and the cone is equal.