Water Height After Dome Removal | Class 10 Maths

Surface Areas and VolumesVideo challenge · SAV16

Water Height After Removing the 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 glass has inner radius

3\text{ cm}

and height

6\text{ cm}

. It holds

36\pi\text{ cm}^3

of water around a solid hemisphere at its base. The hemisphere is removed without spilling. What is the new water height?

Step 1 · Your move

V_{\text{water}}=?

A_{\text{base}}=?

The water stays. It now spreads over the whole circular base.

Helpful?