Volume of a cone: \( V = \frac{1}{3} \pi r^2 h \).
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- \( S = \frac{50}{2}(1 + 99) = 25 \times 100 = 2500 \).
- #### 2500
- A conical vessel with a base radius of 3 cm and height of 9 cm is filled with water. What is the volume of water in cubic centimeters?
- \( r = 3 \, \text{cm} \), \( h = 9 \, \text{cm} \).
- \( r^2 = 9 \), so \( V = \frac{1}{3} \pi \times 9 \times 9 = \frac{1}{3} \pi \times 81 = 27\pi \).
- Using \( \pi \approx 3.14159 \), \( V \approx 27 \times 3.14159 = 84.823 \).
