Answer:
.
Step-by-step explanation:
Let's say that the radius is r. The base diameter is two times the radius, or 2r.
Since the height is two times the diameter, the height is 2 * 2r = 4r.
The volume of a cone is 1/3 * h * pi * r^2. So, the volume of the cone is 1/3 * 4r * pi * r^2 = 1/3 * pi * 4r^3 = 4/3 * pi * r^3.
So, the volume of the cone is .
Hope this helps!
Answer:
Step-by-step explanation:
Let the number of cars be x and buses be y
<u>Then we have below inequalities as per given:</u>
- 5x + 32y ≤ 1310
- x + y ≤ 135
It is easy to notice that cars occupy 6 times less area than buses but cost of parking is 3 times less. So we would need maximum number of cars and minimum number of buses to maximize income
<u>Let's assume there are 135 cars and buses, then from the second inequality:</u>
<u>Substitute it in the first one:</u>
- 5(135 - y) + 32y ≤ 1310
- 675 - 5y + 32y ≤ 1310
- 27y ≤ 1310 - 675
- 27y ≤ 635
- y ≤ 635/27
- y≤ 23.5
The greatest number of buses is 23
Option D. 23 is correct
Answer:0.245
Step-by-step explanation:
18. 0.625
19. -0.75
20. -4/10 = -0.4
Just do the normal formula but don’t multiply it by pi and then add the pi symbol after.
