Water Capacity Around a Solid Dome

Surface Areas and VolumesVideo challenge · SAV15

Water Capacity Around a Solid Dome

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 3

The problem

A cylindrical glass has inner radius 3 cm3\text{ cm} and height 6 cm6\text{ cm}. A solid hemisphere of radius 3 cm3\text{ cm} rises from its base. What volume of water fills the glass to the brim?

Step 1 · Your move

Before accounting for the solid dome, what is the volume of the full cylinder?

solid dome6 cmr = 3 cm
Vcyl=?V_{\text{cyl}}=?Vhemi=?V_{\text{hemi}}=?

The amber dome is solid. Water fills only the space around it.

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