Answer:
hello your question is incomplete attached below is the complete question
answer : -2400 π
Step-by-step explanation:
dr/dt = -12 km/s
h = 2.5 km
r = 40 km at some instant
hence the rate of change of Volume of cylinder at that instance
= dv / dt =
=
= 
hence ; dv / dt = -2400 π
Answer:
1. x = 12
2. x = 5
Step-by-step explanation:
1. -222 = -2x - 12x - 54
-222 = -14x - 54
-168 = -14x
x = 12
2. 154 = 2x + 12x + 84
154 = 14x + 84
70 = 14x
x = 5
Answer:
16
Step-by-step explanation:
Answer:
length : 8 m
width : 13/2 = 6.5 m
Step-by-step explanation:
area of rectangle = l(ength)×w(idth) = 52
l = 2w - 5
=> (2w - 5)×w = 52
=> 2w² -5w - 52 = 0
we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4
=> (2w - 13)×(w + 4) = 0
=> 2 solutions for w :
2w-13 = 0
2w = 13, w = 13/2
w+4 = 0, w = -4
negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2
=> l = 2w - 5 = 13 - 5 = 8
Answer:

Step-by-step explanation:
-A hemisphere is equivalent to half of a sphere.
- The area of a sphere is given by the formula:

-Given that r=3.6m, the hemisphere's volume can be calculated as:

Hence, the hemisphere's volume is approximately 