Question

a box is tightly packed with tin of soft drink of the same size these tins are arrange in 2 layer contains 3 rows of 5coloums if the diameter of each tin is6cm and its 12 cm high , find the volume of the box​

Answer 1

Answer:

The volume of box is 10173.6 cubic centimeters .

Step-by-step explanation:

Given as :

A box is tightly packed with tin of soft drink of the same size these tins are arrange in 2 layer contains 3 rows of 5 columns .

As arranged in 3 rows, 5 columns , so number of tins = 3 × 5

i,e Number of soft drink tins = 15

So, Total number of tin in 2 layer = 2 × 15 = 30

The diameter of tin = 6 cm

So, The radius of tin = $\dfrac{diameter}{2}$

i.e radius of tin = $\dfrac{6}{2}$ = 3 cm

The height of tin = 12 cm

So, The volume of tin = volume of cylinder

i.e volume of tin = π × radius² × height

Or, volume of tin =  3.14 × (3 cm)² × 12 cm

∴ volume of tin = 339.12 cm³

As Total number of tins inside box = 30

So, The volume of box = volume of tin × Total number of tins inside box

Or, The volume of box = 339.12 cm³ × 30

i.e The volume of box = 10173.6 cm³

Hence, The volume of box is 10173.6 cubic centimeters . Answer