To find the diameter and height of each tin, we need to first calculate the volume of the box and then divide it by the number of tins to find the volume of each tin.
1. Volume of the rectangular box:
Volume = length x width x height
Volume = 35 cm x 28 cm x 10 cm
Volume = 9800 cm^3
2. Volume of each tin:
Number of tins = 20
Volume of each tin = Volume of the box / Number of tins
Volume of each tin = 9800 cm^3 / 20
Volume of each tin = 490 cm^3
3. Volume of a cylinder:
Volume = πr^2h, where r is the radius and h is the height.
4. Let's assume the diameter of each tin is D cm and the height is H cm. We know that the radius is half of the diameter, so the radius is D/2 cm.
5. Now we can set up an equation using the volume formulas:
π(D/2)^2H = 490
π(D^2/4)H = 490
D^2H = 1960
6. Since we have two variables in the equation, we can't solve for the exact values of D and H without additional information. But we can make an educated guess by trying some values that satisfy the equation.
Let's try D = 8 cm and H = 30.625 cm:
8^2 * 30.625 = 1960
Therefore, the diameter of each tin is 8 cm and the height is 30.625 cm.
A rectangle box of length 35 cm, width 28cm and height 10cm is packed with 20 cylindrical tins.
What is the diameter and height of each tin?
1 answer
1 answer