The volume of such a can with base radius

and height

would be

We desire the base's circumference and the can's height to add to 120, i.e.

Substituting this into

allows us to reduce the volume to a function of a single variable

:

Taking the derivative with respect to

yields

Set this equal to 0 and find any critical points:

This suggests the can will have maximum volume when its radius is

cm, which would give a volume of about 20,371 sq. cm.
Answer:
9
Step-by-step explanation:
40% of 15 = 6.
1/6 of 18 = 3.
6 + 3 = 9.
Answer: he will need 355.68 centimeters³ of sand to fill half of the sandbox
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × base × height
It can also be expressed as
Volume = base area × height
The area of the base of the sandbox is 124.8 square centimeters, and it will have a height of 5.7 centimeters. This means that the volume of the sandbox is
124.8 × 5.7 = 711.36 centimeters³
Since Mr. Berger plans to fill the sandbox half full of sand, the volume of sand he will need to fill half of the sandbox is
711.36/2 = 355.68 centimeters³