Answer:
1. 603.19 m^3m
3
2. 3053.63 in^3in
3
3. 942.48 yd^3yd
3
4. 1693.32 cm^3cm
3
5. 141.37 ft^3ft
3
6. 3041.06 cm^3cm
3
7. 4561.59 yd^3yd
3
8. 3166.73 m^3m
3
9. 1884.96 yd^3yd
3
Step-by-step explanation:
A cylinder is a solid bounded by a closed cylindrical surface and two parallel planes.
To calculate the volume of the cylinder, the following formula will be used
if radius is given, use V = (\pi r^2)hV=(πr
2
)h (Eqn 1)
if diameter is given, use V = (\frac{\pi d^2}{4})hV=(
4
πd
2
)h (Eqn 2)
For numbers 1, 4,6,7, and 9, use Eqn 2.
For numbers 2, 3,5,and 8 use Eqn 1.
I will just show sample calculations using both equations and you can follow these solutions for other numbers afterwards.
Number 1. d = 8 m, h = 12 m
Using Eqn 2 we have
\begin{gathered}V = (\frac{\pi d^2}{4})h\\V = (\frac{\pi (8m)^2}{4})(12m)\\V = 603.19m^3\end{gathered}
V=(
4
πd
2
)h
V=(
4
π(8m)
2
)(12m)
V=603.19m
3
Number 2. r = 9 in., h = 12 in
Using Eqn 1 we have
\begin{gathered}V = (\pi r^2)h\\V = (\pi (9in)^2)(12in)\\V = 3053.63in^3\end{gathered}
V=(πr
2
)h
V=(π(9in)
2
)(12in)
V=3053.63in
3
Therefore, the formula for calculating the volume of cylinder depends on what is given.
If you want to know more about solid geometry such as finding the surface area and volume of various solid bodies, you may visit the following links:
https://brainly.ph/question/2081904
https://brainly.ph/question/2076416
https://brainly.ph/question/23340
