Answer:
Step-by-step explanation:
Problem One
The scoop is a semisphere I would assume.
The volume of a semisphere = 2/3 * pi * r^2
r = d/2
r = 2/2 = 1
Volume = 2/3 * 3.14 * 1^3
Volume = 2.093
Volume of cone
V = 1/3 * pi * r^2 * h
r = 1
h = 6
V = 1/3 * 3.14 * 1^2 * 6
V = 6.28
Total volume = 8.373
Note: this could be incorrect. It's not clear whether the 2 is a diameter or a radius.
Problem 2
Use the Circumference to find R
C = 2*pi*r
C = 150
r = ?
150 = 2 * 3.14 * r
r = 23.89
Find the area
Area = pi r^2
r = 23.89
Area = 3.14 * 23.89^2
Area = 1791.4 square feet.
Problem 3
The center is 5,-6
The formula is
(x - 5)^2 + (y+6) = 12^2
