Relation between slant height and height of a right circular cone

Q. The diameters of two cones are equal. If their slant heights are in the ratio 5:4, then the ratio of their curved surface areas is ________.

1. 4:5
2. 25:16
3. 16:25
4. 5:4

Q. The base of a conical tent is of area 616 sq units. A vertical pole of length of 48 units is placed at its centre so that it touches the roof of the tent. How much canvas (in sq
$\text{units)is needed to make the tent if the base is also covered with canvas? [Take}\pi =\frac{2}{7}]$

Q.

The diameters of the two cones are equal. If their slant heights are in the ratio of $5:4$, find the ratio of their curved surface areas?

Q. The base radii of two right circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes is

1. $r_2^2:r_1^2$
2. $2r_1^2:r_2^2$
3. $25:9$
4. $9:25$

Q.

The slant height of a cone whose height and radius are 6 cm and 8 cm respectively is _________.

1. 6 cm

2. 8 cm

3. 10 cm

4. 12 cm

Q.

Suppose that there is a conical strainer as shown in the given figure. The radius of its broadest end is 6 cm and length is 8 cm. Now if 2 ${cm}^2$ of strainer has an average of 8 tiny holes. Then the total number of holes in the entire strainer is:

1. 754

2. 663

3. 843

4. 932

Q. If the volumes of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5, then the ration of their heights is

1. 25 : 64
2. 5 : 16
3. 5 : 4
4. 64 : 25