Question

15 CM is the height of water in a cylindrical container of radius R. what is the height of this quantity of water if it is poured into a cylindrical container of radius 2r​

Answer 1

Answer:

height of the cylinder (H)= 15 cm

radius of the cylinder = r cm

if the water is poured into the another cylindrical cylinder then the volume of both the containers are equal

radius of the container in which water is poured (h)= 2r

then

volume of cylinder = volume of container in which water is poured

\begin{gathered}\pi r^2 H = \pi r^2 h \\\\\pi r^2 (15)= \pi (2r)^2 h\\\\15 = 4h \\\\h = \frac{15}{4}\\\\h = 3.75 cm\end{gathered}

πr

2

H=πr

2

h

πr

2

(15)=π(2r)

2

h

15=4h

h=

4

15

h=3.75cm

hence ,The height of container in which water is poured is 3.75 cm