MCQ

Choose the correct alternative answer for the following question.

A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone.

#### Options

15 cm

10 cm

18 cm

5 cm

Advertisement Remove all ads

#### Solution

The radius of the cone = Radius of the cylinder = r cm (Say)

Height of the cylinder, h = 5 cm

Let the height of the cone be H cm.

It is given that the cone melted and recasted into a cylinder.

∴ Volume of the cone = Volume of the cylinder

\[\Rightarrow \frac{1}{3}\pi r^2 H = \pi r^2 h\]

\[ \Rightarrow H = 3h\]

\[ \Rightarrow H = 3 \times 5 = 15 cm\]

Thus, the height of the cone is 15 cm.

Concept: Circumference of a Circle

Is there an error in this question or solution?

Advertisement Remove all ads

#### APPEARS IN

Advertisement Remove all ads

Advertisement Remove all ads