# Right Circular Cone and Its Surface Area

## Trending Questions

**Q.**

A 5-m-wide cloth is used to make a conical tent of base diameter 14 m and height 24 m. Find the cost of cloth used, at the rate of Rs 25 per metre.

**Q.**

A military tent of height 8.25 m is in the form of a right circular cylinder of base diameter 30m and height 5.5m surmounted by a right circular cone of same base radius. Find the length of canvas used in making the tent, if the breadth of the canvas is 1.5m.

**Q.**

(i) A 5-m-wide cloth is used to make a conical tent of base diameter 14 m and height 24 m. Find the cost of cloth used at the rate of Rs 25 per metre.

(ii) The radius and height of a solid right-circular cone are in the ratio of 5 : 12. If its volume is 314 cm3, find its total surface area. [Take π=3.14.]

**Q.**The slant height (l) of a cone of radius r and height h is

- √r2+h
- r2+h2
- √r2+h2
- (r2+h2)2

**Q.**A sector containing an angle of 120 degree is cut off from a circle of radius 21 cm and folded into a cone. Find the curved surface area of a cone.

- 442 cm2
- 462cm2
- 262 cm2
- 362 cm2

**Q.**

The radius and height of a cone are in the ratio 4:3. The area of the base is 154 cm2. The area of the curved surface in cm2 is

**Q.**

The radius and height of right circular cone are in the ratio $4:3$ and its volume is $2156c{m}^{3}$. Find the curved surface area of the cone.

**Q.**

The height of a conical tent is 14 m and its floor area is 346.5 m2. How much canvas, 1.1 m wide, will be required for it ?

(a) 490 m (b) 525 m (c) 665 m (d) 860 m

**Q.**

Why are conic sections called conic sections?

**Q.**

A cylindrical roller$2.5m$ in length, $1.75m$ in radius when rolled on a road was found to cover the area of $5500{m}^{2}$. How many revolutions did it make?

**Q.**

The circular ends of a bucket are of radii 35 cm and 14 cm and the height of the bucket is 40 cm, its volume is

9000 cm

^{3}80080 cm

^{3}56090 cm

^{3}89009 cm

^{3}

**Q.**Total surface area of a cone of radius 5 cm and slant height 10 cm is

(Take π=3.14)

- 235.5 cm2
- 335.5 cm2
- 245 cm2
- 437 cm2

**Q.**

The radius of the base of a cone is 5 cm and its height is 12 cm. Its curved surface area is

(a) 60π cm2 (b) 65π cm2 (c) 30π cm2 (d) none of these

**Q.**

If the area of the base of a right circular cone is 3850 cm2 and its height is 84 cm, find the slant height of the cone.

**Q.**

**Question 6**

A shuttle cock used for playing badminton has the shape of the combination of

(A) a cylinder and a sphere

(B) a cylinder and a hemisphere

(C) a sphere and a cone

(D) frustum of a cone and a hemisphere

**Q.**

Three cubical blocks, each of volume 125 cm^{3}, are joined end to end to form a cuboid. What is the total surface area of the cuboid so formed?

350 cm

^{2}375 cm

^{2}425 cm

^{2}450 cm

^{2}

**Q.**

The volume of a sphere (in cubic cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) is

6

2

3

4

**Q.**The diameter of the base of a right circular cone is 42 cm and its height is 20 cm. Find the curved surface area of the cone.

- 3300 cm2
- 1386 cm2
- 1914 cm2
- 26720 cm2

**Q.**

The shape of a gulli in the gulli-danda game is a combination of

(a) a cone and a cylinder

(b) two cylinders

(c) two cones and a cylinder

(d) two cylinders and a cone

**Q.**

The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km2. Find the height of the mountain.

**Q.**

Find the volume and surface area of a pyramid with height 3√2 cm and a square base with sides all 6 cm in length [4 MARKS]

**Q.**

In a right circular cone, the cross section made by a plane parallel to the base is a

(a) sphere (b) hemisphere (c) circle (d) a semicircle

**Q.**The length of the diagonal of a cube that can be inscribed in a sphere of radius 7.5 cm is

**Q.**

A cone of radius 3 cm and slant height 5 cm has curved surface area of:

13

14

15

16

**Q.**

**Question 2**

A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.

**Q.**5. A solid cylinder has diameter 28cm and height 24cm. A conical cavity of the same diameter and same height is drilled out from this solid. Find the whole surface area of the coni cal solid

**Q.**Question 5

The shape of a gilli, in the gilli-danda game ( see – figure) is a combination of

(A) two cylinders

(B) a cone and a cylinder

(C) two cones and a cylinder

(D) two cylinders and a cone

**Q.**The diameter of the base of a right circular cone is 42 cm and its height is 20 cm. Find the curved surface area of the cone.

- 3300 cm2
- 1914 cm2
- 1386 cm2
- 26720 cm2

**Q.**

**Question 3**

A plumbline ( Sahul) is the combination of ( see figure)

(A) a cone and a cylinder

(B) a hemisphere and a cone

(C) frustum of a cone and a cylinder

(D) sphere and cylinder

**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

2:3

3:5

7:9

8:5