More Difficult Problems (Leaving Cert Mathematics): Quizzes

Volume per unit time

$\pi \times r^2 \times$ flow rate

Total volume $\div$ Volume per second

$8:27$

$V = \frac{1}{3}\pi r^2 h$

$V = \frac{2}{3}\pi r^3$

$V = \frac{4}{3}\pi r^3$

Break down into familiar components

Add volumes of each component

Subtract inner from outer volume

1000 cm³

Volume has three dimensions