Answer:
Explanation:
To find the height of the candle, we can use the formula for the volume of a cylinder:
V = πr^2h
where V is the volume of the cylinder, r is the radius of the cylinder, and h is the height of the cylinder.
We know that the radius of the candle is half of its diameter, which is given as 3.2 centimeters. So, the radius of the candle is:
r = 3.2cm/2 = 1.6cm
We also know that the volume of the candle is 302.24384 cubic centimeters. So, we can plug in the values we have into the formula for the volume of a cylinder, and solve for h:
V = πr^2h
302.24384 = π(1.6cm)^2h
302.24384 = 3.14 x 2.56cm^2 x h
h = 302.24384 / (3.14 x 2.56cm^2)
h ≈ 37.0 cm
Therefore, the height of the candle is approximately 37.0 centimeters.