Acar wheel has a radius of 16 inches. through what angle ( to the nearest tenth of a degree ) does the wheel turn when the car rolls forward 4 feet? a. 186.9° b. 171.9° c. 176.9° d. 181.9°

First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.

Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.

Since the radius is 16 inches, the circumference will be

So, we have the following proportion:

that you can read as: "if an angle of 360 corresponds to a distance travelled of , then the unknown angle x corresponds to a distance travelled of 48 inches.

Solving for x, we have

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.