Total surface area of a right circular cone

Q. The base of a conical tent is of area 616 sq. cm. A 48 cm long vertical pole is placed at its centre so that it touches the roof of the tent. How much canvas is needed to make the tent if the base is also covered with canvas?

1. $2816c{m}^2$
2. $2618c{m}^2$
3. $2681c{m}^2$
4. $2861c{m}^2$

Q.

The radius and height of a right circular cone are in the ratio 3:4. Then the ratio of total surface area of the cone to its curved surface area is

1. $2:3$

2. $8:5$

3. $7:9$

4. $3:5$

Q.

A conical shaped container with height 30 cm has area of its base equal to 100 $c{m}^2$. Find the number of grapes (somewhat spherical in shape) that can be put in the container if each grape has a radius of 0.42 cm.

1. 3020

2. 312

3. 322

4. 3225

Q.

The radius and height of a right circular cone are in the ratio 3:4. Then the ratio of total surface area of the cone to its curved surface area is

1. $2:3$

2. $3:5$

3. $7:9$

4. $8:5$

Q. The base of a conical tent is of area 616 sq. cm. A 48 cm long vertical pole is placed at its centre so that it touches the roof of the tent. How much canvas is needed to make the tent if the base is also covered with canvas?

1. $2816c{m}^2$
2. $2861c{m}^2$
3. $2618c{m}^2$
4. $2681c{m}^2$

Q.

Raghu wants to make a closed aluminium cone for his science project. The slant height and radius of the cone should be 10 cm and 7 cm respectively. The area of the aluminium sheet required to make the cone is_____.
$(Use\pi =\frac{22}{7})$

1. $400{cm}^2$

2. $267{cm}^2$

3. $258{cm}^2$

4. $374{cm}^2$

Q. Twenty-seven solid iron spheres, each of radius r and surface area s are melted to form a sphere with surface area s'. The radius (r) of the new sphere k is

1. 5
2. 4
3. $\frac{5}{3}$
4. 3

Q. Twenty-seven solid iron spheres, each of radius r and surface area s are melted to form a sphere with surface area s'. The radius (r) of the new sphere k is

1. 5
2. 4
3. 3
4. $\frac{5}{3}$

Q.

Raghu wants to make a closed aluminium cone for his science project. The slant height and radius of the cone should be 10 cm and 7 cm respectively. The area of the aluminium sheet required to make the cone is_____.
$(Use\pi =\frac{22}{7})$

1. $400{cm}^2$

2. $267{cm}^2$

3. $258{cm}^2$

4. $374{cm}^2$

Q.

A conical shaped container with height 30 cm has area of its base equal to 100 $c{m}^2$. Find the number of grapes (somewhat spherical in shape) that can be put in the container if each grape has a radius of 0.42 cm.

1. 3020

2. 312

3. 322

4. 3225