Answer:
Hence, option: B is the correct answer.
B. (3.14)(18m)^2(6m)
Step-by-step explanation:
Height(H) of a cylinder is given as:
[tex]H=6 \ meters[/tex]
Also, it is given that:
Diameter ( D) of cylinder is 6 times the height(H)
i.e.
[tex]D=6H[/tex]
We know that the radius(r) of cylinder is given as:
[tex]r=\dfrac{D}{2}[/tex]
[tex]r=\dfrac{6H}{2}\\\\r=3H[/tex]
i.e.
[tex]r=3\times 6\\\\r=18 \ meters[/tex]
Also we know that the volume(V) of cylinder is given as:
[tex]V=\pi r^2 H[/tex]
Hence by putting the value of π, r and H we get:
[tex]V=(3.14)(18 \ m)^2(6\ m)[/tex]
Hence, option: B is the correct answer.
B. (3.14)(18m)^2(6m)
