1. **State the problem:**
Ali has a cylindrical fish tank with height $80$ cm and diameter $40$ cm. We need to find the amount of salt in grams required using the formula:
$$\text{Amount of salt} = \left(\frac{\text{volume of tank}}{1000}\right) \times 35$$
and check if it is more than $3750$ grams (3.75 kilograms).
2. **Calculate the volume of the cylinder:**
The volume $V$ of a cylinder is given by:
$$V = \pi r^2 h$$
where $r$ is the radius and $h$ is the height.
Given diameter $= 40$ cm, radius $r = \frac{40}{2} = 20$ cm.
Height $h = 80$ cm.
Substitute values:
$$V = 3.14 \times 20^2 \times 80$$
$$V = 3.14 \times 400 \times 80$$
$$V = 3.14 \times 32000$$
$$V = 100480 \text{ cubic centimeters}$$
3. **Convert volume to liters:**
Since $1000$ cubic centimeters = $1$ liter,
$$\frac{100480}{1000} = 100.48 \text{ liters}$$
4. **Calculate amount of salt:**
Using the formula:
$$\text{Salt} = 100.48 \times 35 = 3516.8 \text{ grams}$$
5. **Compare with 3750 grams:**
$$3516.8 < 3750$$
So, Ali's estimate that the tank needs more than 3.75 kilograms of salt is **incorrect**.
**Final answer:** Ali is not correct; the tank needs approximately $3517$ grams of salt, which is less than $3750$ grams.
Saltwater Tank
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