Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
Answer
I LOVE NFFFFF ITS SO GOOD
Step-by-step explanation:
Answer:
MK
Step-by-step explanation:
ML is the short side of right triangle MLK. MJ is the hypotenuse of right triangle MKJ. This gives you a clue that the ratios of interest are the short side to the hypotenuse. All these right triangles are similar, so ...
ML/MK = MK/MJ . . . . . ratio of short side to hypotenuse is the same
ML·MJ = MK² . . . . . . . cross multiply
MK = √(ML·MJ) . . . . . the geometric mean of ML and MJ is MK
Answer:
1/4 of the cake.
Step-by-step explanation:
Since he ate 1/3 of 3/4 of the chocolate cake, we will need to multiply fractions to solve this.
Therefore, he ate 1/4 of the entire cake.
