Two ropes, ad and bd, are tied to a peg on the ground at point d. the other ends of the ropes are tied to points a and b on a flagpole, as shown below:

two ropes, ad and bd, are tied to a peg on the ground at point d. the other ends of the ropes are tied to points a and b on a f

angle adc measures 60° and angle bdc measures 30°. what is the distance between the points a and b on the flagpole? (1 point)

20 feet
15 feet
10 feet
25 feet

Given:

Let x represents the radius of the cylinder.

Given that the height of the cylinder is twice the radius of its base.

The height of the cylinder is 2x.

We need to determine the volume of the cylinder.

Volume of the cylinder:

The volume of the cylinder can be determined using the formula,

Substituting r = x and h = 2x, we get;

Simplifying, we get;

Thus, the expression that represents the volume of the cylinder is 2πx³ cubic units.

Hence, Option b is the correct answer.