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A cylinder has a height of 4 meters and a diameter that is 3 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?

(3.14)(6m)2(4m)
(3.14)(12m)2(4m)
(3.14)(4m)2(6m)
(3.14)(4m)2(12m)

Respuesta :

HomertheGenius
Height of a cylinder:
h = 4 m
d = 3 · 4 m = 12 m
r = d/2 = 12 m : 2 = 6 m
The volume:
V = r² π h = 
= 3.14 · ( 6 m )² · 4 m= 75.36 m³
Answer:
A ) ( 3.14 )·( 6 m )²·( 4 m )  

Answer:

Option (a) is correct.

The volume of cylinder is [tex](3.14)(6m)^2(4m)[/tex]

Step-by-step explanation:

   Given : A cylinder has a height of 4 meters and a diameter that is 3 times the measure of the height.

We have to find the volume of cylinder and choose the correct one from the given options.

Consider the given dimension.

height of 4 meters that is h = 4 m

and a diameter that is 3 times the measure of the height that is

d = 3 × height = 3 × 4 = 12m

so radius is half of diameter

So, radius = 6 m

We know,  Volume of cylinder = [tex]\pi r^2h[/tex]

Substitute, r = 6 m and h = 4 m

we have,

Volume of cylinder = [tex]\pi (6)^2(4)[/tex]

Also, π = 3.14 , we get,

Volume of cylinder = [tex](3.14)(6m)^2(4m)[/tex]

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