Question

the contents of 10 cylindrical packs of radius 3cmand height 18cm have to be transferred to a single cylindrical jar of height 20 cm . what should be the radius of the jar if the content of the small. jar fills it to the brim​

Answer 1

Answer:

9 cm

Step-by-step explanation:

Volume of cylinder = π$r^{2} h$

r = radius

h = height

Volume of 10 cylinders = 10 x 22/7 x $3^{2}$ x 18 = 5091.43 cm^3

Finding the radius of the big jar

The contents of the small cylinders must fit into the big jar, so, the volume of the big jar = 5091.43 cm^3

Volume of the jar = π$r^{2} h$

5091.43 = 22/7 x $r^{2}$ x 20

$r^{2} = \frac{5091.43}{22/7x20}$

$r^{2} =81$

Find the square roots of both sides

r = 9 cm

The radius of the cylindrical jar = 9 cm