Easy and fast way to do it:
Go to google and type, " volume of a cone calculator" and type in the radius and height.
Answer:
Step-by-step explanation:
a. 1 & 2
b. 3 & 5
c. 2/15
d. 2/5 x 5/3
e. 10/15= 2/3
Choosing blue or red: 3 blue + 4 red = 7 marbles
3 blue + 2 green + 4 red + 1 yellow = 10 marbles
Probability blue or red marble: 7/10
Choosing a marble that isn't blue or red: 2 green + 1 yellow = 3 marbles
Total marbles: 3 blue + 2 green + 4 red + 1 yellow = 10 marbles
Probability non-blue or red marble: 3/10
Volume of the cone:
V = 3.14 x 3^2 x 9/3 = 84.78
Volume of half sphere on top of cone:
V = (4/3 x 3.14 x 3^3 )/2 = 56.52
Total volume = 56.52 + 84.78 = 141.3 cm^3
