a cylindrical container has a base radius of 14cm and height 18cm. How many litres,correct to the nearest litre, of liquid can it hold. Take 22/7
Volume = π(14^2)(18) cm^3
I L = 1000 cm^3 of liquid
so number of L = π(14^2)(18)/1000
= ...
you do the button pushing. ( I get 11 L, to the nearest L)
Using L=22/7(14^2*18)/1000 22*196*18/7000=77616/7000=11cm
To find the volume of the cylindrical container, we can use the formula:
Volume = π * r^2 * h
where π is approximately 22/7, r is the base radius, and h is the height.
Given that the base radius (r) is 14 cm and the height (h) is 18 cm, we can substitute these values into the formula:
Volume = (22/7) * 14^2 * 18
= (22/7) * 196 * 18
= (22/7) * 3528
= 11088 cm^3
Since 1 liter is equal to 1000 cm^3, we can convert the volume in cubic centimeters to liters:
Volume in liters = 11088 cm^3 / 1000
= 11.088 liters
Therefore, the cylindrical container can hold approximately 11 liters of liquid (correct to the nearest liter).
To find the volume of the liquid that the cylindrical container can hold, we need to use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
Given:
Base radius = 14 cm
Height = 18 cm
π = 22/7
Substituting the given values into the formula, we have:
Volume = (22/7) * (14^2) * 18
Calculating this expression, we get:
Volume ≈ 22 * (14^2) * 18 / 7
Now, let's calculate the actual value of the expression:
Volume ≈ 22 * (196) * 18 / 7
Volume ≈ (4312) * 18 / 7
Volume ≈ 77536 / 7
Volume ≈ 11076.57 cm^3
To convert this volume from cubic centimeters to liters, we must divide by 1000 (since there are 1000 cm^3 in 1 liter):
Volume ≈ 11076.57 / 1000
Volume ≈ 11.07657 liters
Finally, we need to round this value to the nearest liter, which gives us:
Approximately 11 liters.
Therefore, the cylindrical container can hold approximately 11 liters of liquid (correct to the nearest liter).