Use Euler's formula to find the missing number.
2 answers:
Euler's Formula states that:
where V is the number of Vertices, E is the number of Edges and F is the number of Faces. We have also been given that the number of vertices is 15 and the number of Edges is 24 . We have been asked to find the number of Faces, F.
The Euler's formula can be rearranged to to isolate F as:
Substituting the values we get:
Thus, option C is the correct option.
You might be interested in
Answer:
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
Step-by-step explanation:
Volume of the Cylinder=400 cm³
Volume of a Cylinder=πr²h
Therefore: πr²h=400
Total Surface Area of a Cylinder=2πr²+2πrh
Cost of the materials for the Top and Bottom=0.06 cents per square centimeter
Cost of the materials for the sides=0.03 cents per square centimeter
Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)
C=0.12πr²+0.06πrh
Recall:
Therefore:
The minimum cost occurs when the derivative of the Cost =0.
r=3.17 cm
Recall that:
h=12.67cm
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.