The formula to find the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height.
Given that the circumference of the base is 14π cm, we can use the formula for circumference, C = 2πr, to find the radius of the base.
14π = 2πr
r = 7 cm
Now we can substitute the values of r = 7 cm and h = 6 cm into the formula for volume:
V = π(7)^2(6)
V = π(49)(6)
V = 294π cm³
To find an approximate decimal answer, we can use 3.14 as an approximation for π:
V ≈ 294(3.14)
V ≈ 922.36 cm³
Therefore, the volume of the cylinder is closest to 923.6 cm³, which is option B.
The height of a cylinder is 6 centimeters. The circumference of the base of the cylinder is 14𝜋 centimeters.
Which measurement is closest to the volume of the cylinder in cubic centimeters.
Responses
A 3,694.5 cm³3,694.5 cm³
B 923.6 cm³923.6 cm³
C 395.84 cm³395.84 cm³
D 8,620.53 cm³
1 answer
1 answer