Question

A company sells kitchen toys for kids, including artificial carrots that are cone shaped with a radius of 1 cm and a height of 6 cm. If the company shipped a dozen carrots in a box, find the total space in the box that the carrots filled to the nearest tenth.

Answer 1

Answer:

Total space in the box is 75.2 cm³.

Step-by-step explanation:

Cone:

• It is three dimension shape.
• It has a vertex.
• The slant height of a cone $l^2=r^2+h^2$, $l$= slant height, r= radius of the base, h= height
• The lateral surface area is πrl
• The volume of a cone is $\frac13 \pi r^2h$.

The artificial carrot that are cone shaped with a radius 1 cm and a height of 6 cm.

So, the volume of the cone is =$\frac13 \pi r^2h$

                                                $=\frac13 \pi (1)^2.6$

                                                $=2\pi$ cm³

The volume 1 dozen carrots is = (12×2π)   cm³

                                                  =75.4 cm³

The volume of the box= The volume of the 1 dozen carrot.

Total space in the box is 75.2 cm³.