Question

HURRY!!! 50 POINTS!!!

What is the volume, in cubic millimeters, of the cone? Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point) cubic millimeters

Answer 1

Answer: 615.44

Step-by-step explanation:

The volume of the cone is equal to 1/3*height*radius^2*pi. We plug in the height=12, and radius=14/2=7. So we have the volume is 1/3*12*(7^2)*3.14. This is equal to 4*49*3.14, which is equal to 615.44.

Answer 2

Answer:

$615.44$ cubic millimeters

Step-by-step explanation:

The formula for the volume ($V$) of a cone is given by:

$V = \dfrac{1}{3} \pi r^2 h$

where $r$ is the radius of the base and $h$ is the height of the cone.

Given that the diameter ($d$) is twice the radius ($r$), we can find $r$ by dividing the diameter by 2:

$r = \dfrac{d}{2}$

In this case, the diameter ($d$) is 14 mm, so the radius ($r$) is:

$r = \dfrac{14}{2} = 7 \textsf{ mm}$

Now, we have the radius ($r$) and the height ($h$).

Substitute these values into the volume formula:

$V = \dfrac{1}{3} \pi (7)^2 (12)$

$V = \dfrac{1}{3} \times 3.14 \times 49 \times 12$

$V = \dfrac{1}{3} \times 3.14 \times 588$

$V = 615.44 \textsf{ cubic millimeters}$

Rounded to the nearest hundredth, the volume of the cone is approximately $615.44$ cubic millimeters.