Determine the volume of a candle mould with a diameter of 7cm and height of 13 cm. Round your answer to the nearest 100 cubic centimeters.
V=πr^2h
V = 3.14 * 12.25 * 13
V = 500.045 = 500 cu. cm
To determine the volume of a candle mold with a diameter of 7 cm and a height of 13 cm, you can use the formula for the volume of a cylinder. The formula is given by:
V = π * r^2 * h
where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.
First, find the radius by dividing the diameter by 2:
r = 7 cm / 2 = 3.5 cm
Next, substitute the values into the formula:
V = 3.14159 * 3.5^2 * 13
V ≈ 3.14159 * 12.25 * 13
V ≈ 500.43368 cubic cm
To round the answer to the nearest 100 cubic centimeters, we look at the digit in the hundreds place, which is the 4 in 43368. Since it is less than 5, we round down. Therefore, the volume of the candle mold is approximately 500 cubic centimeters.