A frustum is made by removing a small cone from a similar large cone in the diagram shown the height of a small cone is a quarte
r of the height of the large chrome work out the volume of the frustum
1 answer:
Answer:
Volume of the frustum = ⅓πh(4R² - r²)
Step-by-step explanation:
We are to determine the volume of the frustum.
Find attached the diagram obtained from the given information.
Let height of small cone = h
height of the large cone = H
The height of a small cone is a quarter of the height of the large cone:
h = ¼×H
H = 4h
Volume of the frustum = volume of the large cone - volume of small cone
volume of the large cone = ⅓πR²H
= ⅓πR²(4h) = 4/3 ×π×R²h
volume of small cone = ⅓πr²h
Volume of the frustum = 4/3 ×π×R²h - ⅓πr²h
Volume of the frustum = ⅓(4π×R²h - πr²h)
Volume of the frustum = ⅓πh(4R² - r²)
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Answer:
The population of the town in the year 1962 will be 1730.
Step-by-step explanation:
The population of Smallville can be found by the equation , where P(t) is the population at time t, r represents the rate of growth, and I is the initial population.
Now, if there are 225 residents in 1950 and the population of the town grows at a rate of 17% per year, then the population of the town in the year 1962 will be (Approximate)