Question

Find the volume of the specified cone. Use 3.14 for pi, and round your answer to the nearest whole number. Diameter = 3 cm, Height = 7 cm

Answer 1

Answer:

16 centimeters cubed

Step-by-step explanation:

Volume of cone is equal to 1/3 * pi * r^2 * h

We are using 3.14 for pi so I'm going to rewrite my formula for volume.

V=1/3 * 3.14 * r^2 * h

We are given diameter is 3 but we need the radius.  We know the radius is half of the diameter so the radius is 1.5 since that is half of 3.

We are given the height is 7.

V=1/3 * 3.14 * 1.5^2 *7

Put into calculator

V=16.485

The whole number that this is closest to is .... 16

So

The Volume of the cone is approximately 16 centimeters cubed.

Answer 2

Answer: $16\ cm^3$

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

$V_{(cone)}=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height of the cone.

To find the radius, you need to divide the diameter by 2. Then:

$r=\frac{3\ cm}{2}=1.5\ cm$

Knowing the radius and the height ($h=7\ cm$), you can substitute them into the formula.

Therefore, the volume of the cone rounded  to the nearest whole number is:

 $V_{(cone)}=\frac{1}{3}(3.14)(1.5\ cm)^2(7\ cm)\\\\V_{(cone})=16\ cm^3$