Question

A cylindrical can of radius 9 cm and height 12 cm containing juice was emptied completely into conical glasses. Find the number of conical glasses, if the base radius of each conical glass is 3 cm and height 6 cm.

Answer 1

Step-by-step explanation:

here , radius of cylinder is (R1)= 9cm

radius of cone (R2)=3cm

height of cylinder= 12 cm

height of cone= 6 cm

NOW,

volume of cylinder =

$\pi {(r1)}^{2} h$

=

$\pi( {9})^{2} (12) = 972\pi$

now , volume of each cone

$= \frac{1}{3} \pi( {r2})^{2} h = \frac{1}{3} \pi(3)^{2} (6) = 18\pi$

no. of cone required =

$\frac{volume \: of \: cylinder}{voume \: of \: each \: cone} = \frac{972\pi}{18\pi} = 54$

hence , 54 cones are required.

hope helps.

Answer 2

Step-by-step explanation:

hence , 54 cones are required.