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.

Answer 1

To find the diameter of the cylinder, we can use the formula for the volume of a cylinder:

V = πr^2h

Given that the volume is 29,673 inches3 and the height is 42 cm, we can convert the height to inches by multiplying by 2.54:

42 cm * 2.54 = 106.68 inches

Now we can plug in the values and solve for the radius (r):

29,673 = 3.14r^2 * 106.68
29,673 = 334.9872r^2
r^2 = 88.501
r = √88.501
r ≈ 9.4 inches

Now that we have found the radius, we can find the diameter by multiplying by 2:

d = 2r
d = 2 * 9.4
d ≈ 18.8 inches

Therefore, the diameter of the cylinder is approximately 18.8 inches.