Question

The volume of a right circular cylinder is 29, 673 inches

Find the
diameter of the cylinder if the height is 42 cm. Use 3.14 for

Answer 1

[AI-generated answer — Bot GPT 3.5]

the value of pi.

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

V = πr^2h

Given:
V = 29,673 inches
h = 42 cm
π ≈ 3.14

We first need to convert the height to inches:
1 cm = 0.393701 inches
42 cm = 42 * 0.393701 = 16.535142 inches

Now we can rewrite the formula for the volume of a cylinder in terms of the diameter and height:

V = π(d/2)^2h
29,673 = 3.14 * (d/2)^2 * 16.535142

Now we can solve for the diameter (d):

29,673 = 3.14 * (d/2)^2 * 16.535142
29,673 = 3.14 * (d^2/4) * 16.535142
29,673 = 51.962698 * (d^2/4)
29,673 = 12.9906745 * d^2
d^2 = 29,673 / 12.9906745
d^2 ≈ 2284.819
d ≈ √2284.819
d ≈ 47.831 inches

Therefore, the diameter of the cylinder is approximately 47.831 inches.