Question

Is this correct?

Answer 1

Find the volume of a cylinder with a height of 2 meters and a diameter that is 5 times the measure of the height. Use 3.14 for pi, and round your answer to the nearest hundredth.

157 m^3 (my answer)

339.12 m^3

678.24 m^3

1570 m^3

Answer 2

Volume of a cylinder
\[V = \pi r^2h\]

Answer 3

h = height
r = radius

Answer 4

You would be correct

Answer 5

Knowing that Radius = 1/2 D
And we know the Diameter = 5 times Height we find the Diameter
\[D = 5 \times 2 = 10\]
And using the relationship between the diameter and radius we find radius as
\[r = \frac{ 1 }{ 2 } \times 10 = 5\]
Pluggin all that we know into our volume equation and following that instructions for pi we find the answer