Question 1:
For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
A: It's the radio
h: It's the height
In this case we have to:
Since the diameter is 10ft, then [tex]r = 5 \ ft[/tex]
[tex]h = 21 \ ft[/tex]
Substituting:
[tex]V = \pi * (5) ^ 2 * 21\\V = 3.14 * 25 * 21\\V = 1648.5 \ ft ^ 3[/tex]
Thus, the volume of the cylinder is [tex]1648.5 \ ft ^ 3[/tex]
Answer:
[tex]1648.5 \ ft ^ 3[/tex]
Question 2:
For this case we have that by definition, the volume of a sphere is given by:
[tex]V = \frac {4} {3} *\pi * r ^ 3[/tex]
Where:
A: It's the radio
We have to:
[tex]r = 20cm[/tex]
Substituting:
[tex]V = \frac {4} {3} * \pi * (20) ^ 3\\V = \frac {4} {3} * 3.14 * 8000\\V = 33493.33333[/tex]
Rounding:
[tex]V = 33493.3 \ cm ^ 3[/tex]
Answer:
[tex]33493.3 \ cm ^ 3[/tex]
