Question

find the volume of the cone. either enter exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth.

Answer 1

`6\pi u^3 = 18.8u^3`

Explanation:

the information we have is:

• the radius of the circle in the base:
  `r=3u` (u for units)

• and the height of the cone:
  `h=2u`

to find the volume we need the formula for the volume of a cone:

`V=(\pi r^2h)/(3)`

where r is the radius and h is the height.

Substituting the known values to find the volume:

`V=(\pi (3u)^2(2u))/(3) \\\\V=(\pi (9u^2)(2u))/(3)\\ \\V=(18\pi u^3)/(3)\\ \\V=6\pi u^3`

the volume in terms of
`\pi` is
`6\pi u^3`

and if we substitute the value of pi:
`\pi=3.14` we get:

`V=6(3.14)u^3\\V=18.8u^3`

Answer 2

v = 6π units³ or V ≈18.84 units³

Explanation:

To find the volume of the cone, we will follow the steps below;

first, write down the formula for finding the volume of a cone;

V = π r² h/3

where r is the radius and h is the height of the cone and v is the volume of the cone

From the diagram given, height of the cone is 2 and radius is 3

We can now proceed to insert our values into the formula;

V = π r² h/3

Finding the volume in terms of pi

V = π r² h/3

V = π ×3² ×2/3

one of the 3 at the numerator will cancel out 3 at the denominator in the right-hand side of the equation

v =π×3×2

v = 6π units³

putting π = 3.14

V = 6 (3.14)

V ≈18.84 units³