school water tank is in the shape of a frustum of a cone. The height of the tank is 7.2 m and the top and bottom radii are 6m and 12 m respectively.



(a) Calculate the area of the curved surface of the tank, correct to 2 decimal places.

(b) Find the capacity of the tank, in liters, correct to the nearest liter.

(c) On a certain day, the tank was filled with water. If the school has 500 students and each student uses an average of 40 liters of water per day, determine the number of days that the students would use the water.

1 answer

I'm sure you know how to find the volume and area of a cone
Think of the frustrum as a large cone with its top cut off.

So, find the area or volume of both the entire cone and the cut-off part.
To get the numbers for the frustrum, just subtract the cut-off part from the whole cone.

If you get stuck, come on back and show what work you have.