Answer:
6 x 6 x 3 cm
Step-by-step explanation:
The base of the box needs to fit the base of the hemisphere.
The maximum width and length of the hemisphere is the diameter of the base of the hemisphere (which is circular)
Diameter of a circle = 2r
As the radius = 3 cm, the diameter = 2 x 3 = 6 cm
Therefore, the width and length of the box should both be 6cm
The height of the box needs to accommodate the height of the hemisphere. The height of the hemisphere is the radius, so the height of the box should be 3 cm.
Therefore, the dimensions of the box should be 6 x 6 x 3 cm
Answer:

Step-by-step explanation:
Given
-- Objective function
Constraints:



Required
Minimum value of E
To do this, we apply graphical method
See attachment for plots of
and 
From the attached plot, the point that satisfy
is:

So, we have:

This gives:



Answer:
The second one :) Hope it helps
Step-by-step explanation:
5.55% = 1/18
So, cut the cake into 18 equal squares.
The cake is twice as long as it is wide, so that means cut half the cake (6 3/4 x 6 3/4) into 9 pieces, each with a side of 1/3 * 6 3/4 = 2 1/4 inches.
When a number and letter are together, it means multiplication.
So, it is read as "23 times f".