# CBSE Class 10-Mathematics: Chapter – 13 Surface Areas and Volumes Part 14 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 33**:

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is and the total height of the Vessel is 13cm. Find inner surface area.

**Answer**:

Inner surface area

**Question 34**:

A spherical ball of diameter is melted and recast into cubes each of side . Find the number of cubes thus formed.

**Answer**:

Volume of spherical ball

Volume of each cube

Required number of cubes

## 3 Mark Questions

**Question 1**:

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is and the total height of the vessel is . Find the inner surface area of the vessel.

**Answer**:

Diameter of the hollow hemisphere

Radius of the hollow hemisphere

Total height of the vessel = 13 cm

Height of the hollow cylinder = 13 – 7 = 6 cm

Inner surface area of the vessel Inner surface area of the hollow hemisphere Inner surface area of the hollow cylinder

**Question 2**:

A toy is in the form of a cone of radius mounted on a hemisphere of same radius. The total height of the toy is . Find the total surface area of the toy.

**Answer**:

Radius of the

Radius of the hemisphere

Total height of the

Height of the

Slant height of the

TSA of the of hemisphere of cone