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

Total space in the box is 75.2 cm³.

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.