Answer:


Explanation:
<u>Rate of Change</u>
The volume of a cone of radius r and height h is given by

The height is said to be 1/2 of the radius, thus


a) Knowing r=18 feet, the volume is


b) The rate of change of the volume is computed by taking the derivative of both sides respect to the time


Where r' is the given rate of change of the radius: 2 feet/day.
Now we compute


Answer:
<h2>4900 J</h2>
Explanation:
The gravitational potential energy of a body can be found by using the formula
GPE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
GPE = 5 × 9.8 × 100
We have the final answer as
<h3>4900 J</h3>
Hope this helps you
Spiral galaxies are most common
Here is the answer to the given question above. Based on the Raisin Cake Analogy, the two properties of distant galaxies that astronomers have to measure to show<span> that we live in an expanding universe are DISTANCE and SPEED. Hope this answers your question. Have a great day!</span>
<h3>Answer</h3>
1104 km/hour
<h3>Explanation</h3>
Distance between Dallas Texas to New York = 2760 km
Time the plane took from Dallas to New York = 2 hours
Time the plane took from New York back to Dallas = 2.5 hours
Formula to use
<h3>distance = speed x time </h3>
Speed the plane took from Dallas to New York
2760 = 2 x speed
speed = 2760 / 2
= 1380 km/hour
Speed the plane took from New York to Dallas (ROUND TRIP)
2760 = 2.5 x speed
speed = 2760 / 2.5
= 1104 km/hour