usman is filling cups with water each cup is a cylinder with radius 4cm and height 14 cm.usman has 10 litre of water .how many cups can usman fill
To find out how many cups Usman can fill, we first need to calculate the volume of each cup.
The formula to calculate the volume of a cylinder is: V = π * r^2 * h
Given that the radius of the cup is 4 cm and the height is 14 cm, we can substitute these values into the formula:
V = π * 4^2 * 14
V = 3.14 * 16 * 14
V = 3.14 * 224
V ≈ 703.36 cm^3
Next, we need to convert the volume to liters. Since 1 liter is equal to 1000 cm^3, we can divide the volume by 1000 to get the volume in liters:
703.36 cm^3 ÷ 1000 = 0.70336 liters
Therefore, each cup has a volume of approximately 0.70336 liters.
Now, we can determine the number of cups Usman can fill by dividing the total volume of water (10 liters) by the volume of each cup:
10 liters ÷ 0.70336 liters/cup = approximately 14.207 cups
Therefore, Usman can fill approximately 14 cups with 10 liters of water.
To find out how many cups Usman can fill, first, we need to calculate the volume of one cup.
The volume of a cylinder can be calculated using the formula:
V = πr^2h
Given:
Radius (r) = 4 cm
Height (h) = 14 cm
V = π(4^2)(14)
V = 3.14 x 16 x 14
V = 3.14 x 224
V ≈ 703.36 cm^3
Now, we need to determine the volume of 10 liters of water. There are 1000 cm^3 in 1 liter, so:
10 liters = 10 x 1000 cm^3
10 liters = 10,000 cm^3
Now, we divide the volume of 10 liters of water by the volume of one cup to determine how many cups can be filled:
Number of cups = 10,000 cm^3 / 703.36 cm^3
Number of cups ≈ 14.2 cups
Therefore, Usman can fill approximately 14 cups with 10 liters of water.
volume of one cup = π r^2 h = π(16)(14) cm^3
= 224π cm^3
number of cups filled = 10,000/(224π) = ....
(hint: you should get a number between 10 and 15)