Core stretch A cylinder of radius 5 cm contains water to a depth of 8 cm. Twenty-four spherical marb

Question

Core stretch

A cylinder of radius 5 cm contains water to a depth of 8 cm. Twenty-four spherical marbles of diameter 1.5 cm are fully immersed. Using $\pi=3.142$, find

The cylinder is 12 cm tall. Neglect the tiny areas where the marbles touch the container.

the new water depth,[2]
the total internal surface area of the cylinder in contact with the water.[2]

Accepted Answer

(a) $8.54$ cm (b) $346.88\text{ cm}^2$.

Marbles displacing water in a cylinder

Marbles displacing water in a cylinder

Solution:

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