# CBSE Class 10-Mathematics: Chapter – 13 Surface Areas and Volumes Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 5**:

A solid sphere of radius r is melted and cast into the shape of a solid cone of height r, the radius of the base of the cone is

(a)

(b)

(c)

(d)

**Answer**:

(a)

**Question 6**:

A reservoir is in the shape of a frustum of a right circular cone. It is across at the top and across at the bottom. If it is deep, then its capacity is

(a)

(b)

(c)

(d)

**Answer**:

(a)

**Question 7**:

A cone of height and radius of base is made up of modeling clay. A child reshapes it in the form of a sphere, the radius of the sphere is

(a)

(b)

(c)

(d)

**Answer**:

(b)

**Question 8**:

A circular tent is cylindrical to a height of and conical above it. If its diameter is and its slant height is . The total area of the canvas required in is

(a)

(b)

(c)

(d)

**Answer**:

(b)

**Question 9**:

The radii of the ends of a bucket high is and . then its capacity in liters is

(a)

(b)

(c)

(d)

**Answer**:

(b)

**Question 10**:

A solid is hemispherical at the bottom and conical above it. The surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is

(a)

(b)

(c)

(d)

**Answer**:

(b)

**Question 11**:

The diameter of a sphere is . It is melted and drawn into a wire of diameter . The length of the wire is

(a)

(b)

(c)

(d)

**Answer**:

(c)

**Question 12**:

If the radii of the circular ends of a bucket of height are and . Then volume of the bucket in cubic centimeters is

(a)

(b)

(c)

(d)

**Answer**:

(b)