Answer:
r = 5 feet
Step-by-step explanation:
see attached for reference
recall that volume of a circular cone is given by
V = (1/3) πr²h, where
V = volume = given as 50π ft³
r = radius (we are asked to find this)
h = height of cone = given as 6 feet
Substituting the above known values into the equation:
V = (1/3) πr²h
50π = (1/3) π (r²)(6)
50π = π (r²)(2) (divide both sides by 2)
25π = π r² (divide both sides by π)
25 = r²
r = ±√25
r = ±5 (since radius cannot be negative, we select the positive value
r = 5 feet
I want an answer to this too, I would love some help as well
First add 22 to -13 which would be 9
Then subtract 14 from 9 which would be -5
So the answer is -5
First, determine the distance of the motorcycle and the car from the start point. The distance could be determined using
d stands for distance, v stands for speed, t stands for time
The car
d = 48 × t
d = 48t
The motorcycle
d = 20 × t
d = 20t
At the end of t hours, the car is 48t miles (east) from the start point and the motorcycle is 20t miles (north) from the start point.
Second, determine the distance between 48t miles at east and 20t miles at north using pythagorasdistance =
distance =
distance =
distance = 52t
The expression for their distance apart at the end of t hours is 52t
