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Home » where \( r \) is the radius of the base and \( h \) is the height. - Tacotoon

where \( r \) is the radius of the base and \( h \) is the height. - Tacotoon

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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#### 14.31
A car accelerates uniformly from rest to 60 m/s in 10 seconds, then ma...
Acceleration phase: \( a = \frac{60}{10} = 6 \, \text{m/s}^2 \); dista...
Constant speed: \( d = 60 \times 20 = 1200 \, \text{m} \).
Deceleration phase: \( a = \frac{-60}{5} = -12 \, \text{m/s}^2 \); dis...
Total distance \( = 300 + 1200 + 150 = 1650 \, \text{m} \).
#### 1650
A cone with height 12 cm and base radius 5 cm is filled with water. Th...
Volume of cone: \( V = \frac{1}{3}\pi r^2 h \); by similar triangles,...
So \( V = \frac{1}{3}\pi \left(\frac{5}{12}h\right)^2 h = \frac{25\pi}...

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