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\[ \pi \times 15^2 = 225\pi \]
#### 225π
Question**: A train travels at a speed of 60 km/h. If it increases its speed by 20%, how far will it travel in 3 hours?
Solution**: The increased speed is:
\[ 60 + 0.2 \times 60 = 72 \text{ km/h} \]
The distance traveled in 3 hours is:
\[ 72 \times 3 = 216 \]
#### 216
Question**: A bank offers a compound interest rate of 5% per annum, compounded annually. If you deposit $1000, how much will the amount be after 3 years?
Solution**: The formula for compound interest is: