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

Answer:

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

Step-by-step 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:

$V=\frac{\pi r^2h}{3}$

where r is the radius and h is the height.

Substituting the known values to find the volume:

$V=\frac{\pi (3u)^2(2u)}{3} \\\\V=\frac{\pi (9u^2)(2u)}{3}\\ \\V=\frac{18\pi u^3}{3}\\ \\V=6\pi u^3$

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

Answer:

v = 6π units³                 or        V ≈18.84 units³

Step-by-step 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