Question

a barrel shaped like cylinder is laid on its side and rolled up a ramp that is 196 m long. the barrel has a circular base that turns 49 times in being rolled up the ramp. what us the diameter of the circular base?use the value 3.14 for pie. round your answer to the nearest tenth.

Answer 1

We know that

• The ramp is 196 meters long.

,

• The barrel has a circular base, it turns 49 times over the ramp.

Observe the ramp longitude is 49 times greater than the lateral surface of the barrel. Let's divide.

$\frac{196}{49}=4$

This means the circumference of the base of the barrel is 4 meters long.

The circumference length formula is

$C=\pi d$

Where d is the diameter. Let's replace the circumference and solve for d.

$\begin{gathered} 4=3.14\cdot d \\ d=\frac{4}{3.14}\approx1.27 \end{gathered}$

Therefore, the diameter is 1.27 meters long, approximately.