Answer:
h = 15.3768177
Explanation:
Lets start with what we know.
the volume of a cylinder is: V = π r² h
The radius is 10cm
the volume is 20.420.35
we can replace V with 20.420.35, since we know the volume, and we can replace r with 10, since we know the radius.
V = π r² h
20.420.35 = π 10² h
Now, we're gonna need to avoid h, and try to use do what we know, in the equation, aka: π 10²
10², is 100. 100 * 3.14 is 314
So now, we have 314 * h = 20.420.35
(Think: This is similar to #x =###)
so what do we do when we need to get an unknown variable thats multiplied? Divison!
(Divison because its the inverse opperation of multiplying.)
314 * h = 20.420.35
÷314 ÷314
h = 15.3768177
My work:
V = π r² h
20.420.35 = π 10² h
20.420.35 = 3.14 100 h
20.420.35 = 314 h
÷314 ÷314
h = 15.3768177