Given :
Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above.
To Find :
At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone.
Solution :
We know, volume of a cone is given by :

Also, h = r/5
r = 5h

Differentiating above equation w.r.t h, we get :

Hence, this is the required solution.
If this is asking for a transformation from f(x) to g(x), then the answer for this is 4 units up
The speed of slower car is 45 mph and faster car is 50 mph.
Step-by-step explanation:
Given,
Distance covered by both cars = 190 miles
Time taken by both of them = 2 hours
Let,
x be the speed of slower car.
Speed of faster car = x+5
Combined speed = x+x+5 = 2x+5
We know that;
Distance = Speed * Time

Dividing both sides by 4

Speed of slower car = 45 miles per hour
Speed of faster car = 45+5 = 50 miles per hour
The speed of slower car is 45 mph and faster car is 50 mph.
Keywords: speed, distance
Learn more about speed at:
#LearnwithBrainly
Answer:
360 inches or 30 feet
Step-by-step explanation:
A scale factor is the value which multiplied by a number scales the number larger or smaller. The blueprint has a wall height of 8 in. Using the scale factor 45, the actual height is 8*45 = 360 inches.
360 inches/ 12 inches is 30 feet.