Practice30Create account

A spherical scoop of radius 3 cm of ice cream is placed in a hollow cone of radius 3 cm and height 12 cm. The scoop melts completely and fills the cone.
What fraction of the cone gets filled?

Class 10Volume of Combined SolidsMensuration
  • Afull (the cone exactly fills)
  • Bhalf the cone
  • Cone-third of the cone
  • Dthe cone overflows

Step-by-Step Solution

Sphere = π (27) = 36 π. Cone = π π. Equal volumes, so the melted scoop exactly fills the cone.
Answer: A) full (the cone exactly fills)

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Volume of Combined Solids practice questions

More Class 10 Volume of Combined Solids practice

A solid is a hemisphere of radius r surmounted by a cone of the same radius. The total…A factory makes a solid trophy: a cylinder of radius 3.5 cm and height 8 cm, with a cone…A well of diameter 6 m is dug 14 m deep. All the earth taken out is spread evenly over a…In a warehouse a heap of grain is a cylinder of radius 4.2 m and height 2 m with a…A steam boiler is a cylinder 9 m long with a hemispherical cap closing each end. The…