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Question:A water tank is shaped like the cone shown here. How much water can the tank hold? Use 3.14 for . If water is drained from the tank to fill smaller tanks that each hold 200 m³ of water, how many smaller tanks can it fill
Answer:
Amount of water = 871.87 in³
Number of tanks = 4 tanks
Step-by-step explanation:
Applying,
V = 1/3πr²h........... Equation 1.
Where V = volume of the tank, h = height, r = radius.
From the diagram attached,
Given: h = 17 m, r = 7 m.
Substitute these values into equation 1
V = 1/3(17)(7²)(3.14)
V = 871.87 m³.
Hence the amount of water the tank can hold is 871.87 m³
If the water is drained to a tank of 200 m³,
The number of tanks it can fill is = 871.87/200 = 4 tanks.
The number of ways to choose the colors is 36
<h3>How to determine the number of ways?</h3>The given parameters are:
Colors = 9
Colors to choose = 7
Since order does not matter, then it is combination
This is calculated using:
This gives
Evaluate
Hence, the number of ways is 36
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