Question
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
Answers
GPT 3.5
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.
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.