These cylinders are similar. Find the volume of the smaller cylinder. Round to the nearest tenth.
5 cm
|3 cm
Volume = [? ] cm3
Volume = 393 cm3

Step-by-step explanation:

Let be the volumes of the smaller and bigger cylinder.

The formula for the volume of a cylinder is given by :

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

So, the volume of the smaller cylinder is equal to .

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

hint: which coefficient is a multiple of 360°?

step-by-step explanation: