Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.
<h3>What is a Hemisphere?</h3>
A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.
Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.
Therefore, the diameter of a full sphere = side length of cube.
Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.
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<h2>
Dimension of box is 2 m x 2 m x 1.33 m</h2>
Step-by-step explanation:
Let a be base side and h be the height.
Volume of box, V = a²h
The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.
That is
4a² + 3 x 4 x a x h = 48
4a² + 12 a x h = 48
a² + 3 ah = 12
So volume is
At maximum volume we have derivative is zero,
Negative side is not possible, hence side of square base is 2m.
Substituting in a² + 3 ah = 12
2² + 3 x 2 x h = 12
h = 1.33 m
Dimension of box is 2 m x 2 m x 1.33 m
39=3m-15
39+15=3m
54=3m
54/3=3m/3
m=18
To find the probability of getting a lily, you will create a fraction with the possible number of lilies and the total number of possibilities after the first 4 bulbs were removed.
<u># of lilies</u> <u>3</u>
total bulbs 14
3/14 = 0.21
The probability is approximately 21%.
