A circular pool has a diameter of 3m and is filled to a depth of 70 cm. Mr Thorpe climbs into the pool and submerges for ten seconds while his son measures the new depth at 72 cm. Calculate Mr Thorpe’s volume.
The volume of a right circular cylinder is
$\displaystyle V = \pi r^2 h$.
To find the volume before Mr. Thorpe climbs into the pool, plug in r = 1.5 m and h = 0.7 m. I'll call this V1:
$\displaystyle V_1 = \pi (1.5)^2 (0.7) = \ldots$.
To find the volume after Mr. Thorpe submerges in the pool, plug in r = 1.5 m and h = 0.72 m. I'll call this V2:
$\displaystyle V_2 = \pi (1.5)^2 (0.72) = \ldots$.
To find Mr. Thorpe's volume, subtract the two volumes:
$\displaystyle V_2 - V_1 = \ldots$
Can you finish?