- Apply product rule
Micha constructs a rectangular prism with a volume of 360 cubic units. The height os the prism is 10 unita. Micah claims that th
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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.
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
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