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A cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume of the cylinder? (6 points)


A.(3.14)(36m)2(6m)

B.(3.14)(18m)2(6m)

c.(3.14)(6m)2(36m)

d.(3.14)(6m)2(18m)

which letter is the answer?

Respuesta :

Riversongirl

It should be (3.14)(18m)2(6m) which is B.

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)

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