A cylindrical storage vessel is 4cm in diametre and 3and half deep.how many kilolitre will it hold
First, we need to convert the diameter to radius by dividing it by 2:
radius = 4cm/2 = 2cm
Then, we can use the formula for the volume of a cylinder:
V = πr^2h
where V is the volume, π is Pi (approximately 3.14), r is the radius, and h is the height.
Plugging in the values we have:
V = 3.14 x 2^2 x 3.5
V ≈ 43.96 cm^3
To convert cubic centimeters to kiloliters, we need to divide by 1,000,000:
V = 43.96 cm^3 ÷ 1,000,000 = 0.000044 kiloliters
Therefore, the cylindrical storage vessel will hold approximately 0.000044 kiloliters.
To calculate the volume of a cylindrical storage vessel, we can use the formula:
Volume = π * r^2 * h
Where:
- π is a mathematical constant, approximately equal to 3.14159.
- r is the radius of the circular base of the cylinder.
- h is the height of the cylinder.
First, we need to find the radius of the circular base. The diameter is given as 4 cm, so the radius can be calculated by dividing the diameter by 2:
Radius (r) = Diameter / 2 = 4 cm / 2 = 2 cm
Next, we need to convert the height to centimeters, as the radius is also in centimeters. The height is given as 3 and a half, which can be written as 3.5:
Height (h) = 3.5 * 10 cm = 35 cm
Now, we can substitute the values into the formula to find the volume:
Volume = π * r^2 * h
Volume = 3.14159 * (2 cm)^2 * 35 cm
Volume = 3.14159 * 4 cm^2 * 35 cm
Volume ≈ 439.83 cm^3
To convert this volume to kiloliters, we need to divide it by 1,000,000 (since there are 1,000,000 cm^3 in 1 kiloliter):
Volume (in kiloliters) = Volume (in cm^3) / 1,000,000
Volume (in kiloliters) ≈ 439.83 cm^3 / 1,000,000
Volume (in kiloliters) ≈ 0.00043983 kiloliters
Therefore, the cylindrical storage vessel will hold approximately 0.00043983 kiloliters.