water is poured into a cylindrical bucket with the base area of 300cm squared if 4.8 leters of water is poured into the bucket what is the height if the water in the bucket
4.8 liters if 4800 cm^3
4800cm^3 / 300cm^2 = 16cm
To find the height of the water in the bucket, we need to convert the volume of water poured into liters (4.8 liters) to cubic centimeters (cm^3).
1 liter is equal to 1000 cubic centimeters, so 4.8 liters is equal to 4.8 x 1000 = 4800 cubic centimeters.
We can use the formula for the volume of a cylinder to find the height of the water. The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius of the base, and h is the height.
Since the base area is given as 300 cm^2, we can find the radius using the formula for the area of a circle, A = πr^2. Rearranging the formula, we have r^2 = A/π = 300/π, so r = √(300/π).
Now we can substitute the values into the formula for the volume. Putting V = 4800 and r = √(300/π), we have:
4800 = π(√(300/π))^2h
Simplifying, we get:
4800 = 300h
Dividing both sides by 300, we have:
h = 4800/300
Calculating this, we get:
h = 16 cm
Therefore, the height of the water in the bucket is 16 centimeters.
To find the height of the water in the bucket, we'll use the formula for the volume of a cylinder:
Volume = base area × height
First, we need to convert the volume from liters to cubic centimeters (cm³). Since 1 liter is equal to 1000 cm³, we have:
4.8 liters × 1000 cm³/liter = 4800 cm³
Now, we can substitute the values into the formula and solve for the height:
4800 cm³ = 300 cm² × height
To isolate the height, we divide both sides of the equation by the base area:
4800 cm³ / 300 cm² = height
Simplifying the right side of the equation gives us:
16 cm = height
Therefore, the height of the water in the bucket is 16 cm.