The volume of a right circular cylinder is 29,673 inches3 . Find the diameter of the cylinder if the height is 42 cm. Use 3.14 for π .(1 point) Responses 30 inches 30 inches 10 inches 10 inches 5 inches 5 inches 15 inches 15 inches
To find the diameter of the cylinder, we first need to find the radius of the cylinder using the formula for the volume of a cylinder:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
Given:
V = 29,673 in^3
h = 42 cm = 42/2.54 = 16.54 inches
π = 3.14
29,673 = 3.14r^2(16.54)
29,673 = 52.2156r^2
r^2 = 29,673 / 52.2156
r^2 = 568.25
r = √568.25
r = 23.85 inches (approximately)
Now, we can find the diameter using the formula for diameter:
d = 2r
d = 2(23.85)
d = 47.7 inches
Therefore, the diameter of the cylinder is approximately 47.7 inches.