Answer:
The radius of the cylinder is: r = 11 yards
Step-by-step explanation:
Given
The height of cylinder = h = 16 yards
Volume of cylinder = V = 6079.04 cubic yards
To determine
The radius of cylinder = r = ?
Using the formula involving volume of the cyliner
V = πr²h
substituting h = 16, V = 6079.04 and π = 3.14
6079.04 = 3.14 (r²) 16
r² = [6079.04] / [(3.14) (16)]
r² = 6079.04 / 50.24
r² = 121
As radius can not be negative.
Therefore, the radius of the cylinder is: r = 11 yards
Answer:
The length of rectangular is increasing at a rate 0.5714 meters per hour.
Step-by-step explanation:
We are given the following in the question:
Initial dimensions of rectangular box:
Length,l = 10 m
Width,w = 7 m
We have to find the rate of increase of length.
Area of rectangle =
Differentiating we get,
Putting values, we get,
Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.