# Total surface area of a right circular cone

## Trending Questions

**Q.**

Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.

**Q.**

Curved surface area of a cone is 308 cm2 and its slant height is 14 cm.Find the radius of the base and total surface area of the cone.

**Q.**Find the total surface area of a right circular cone with radius 6 cm and height 8 cm.

**Q.**

The volume of a right circular cone is 9856 cm3.If the diameter of the base is 28 cm, find:

(i) height of the cone

(ii) slant height of the cone

(iii) curved surface area of the cone.

**Q.**

A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

**Q.**

The number of surfaces, a cone has, is

1

2

3

4

**Q.**

The slant height of a cone is increased by 10 %.If the radius remains the same, the curved surface area is increased by

10%

12.1%

20%

21%

**Q.**Q) The distance between the circular plates of a parallel plate condenser 40mm in diameter in order to have same capacity as a sphere of radius 1m is A) 0.01mm B) 0.1 mm C) 1.0mm D) 10mm

**Q.**

If the radius and slant height of a cone are in the ratio 7:13 and its curved surface area is 286 cm2, find its radius.

**Q.**

A right circular cylinder just encloses a sphere of radius *r* (see figure). Find

(i) surface area of the sphere,

(ii) curved surface area of the cylinder,

(iii) ratio of the areas obtained in (i) and (ii).

**Q.**Hemispherical bowl is made of steel 0.25 cm thick. Inner radius of bowl is 5 cmfind outer CSA .

**Q.**

The radius of two similar right circular cones are 2cm and 6cm. The ratio of their volumes is

1:3

1:9

9:1

1:27

**Q.**What is the total surface area of a cone of base radius r, height h and slant height l ?

- πrl
- πr2 +πr2l
- πrl +πr2
- πr2+2πrl

**Q.**

If the circumference of the top of a hemispherical bowl is 22 cm. Its volume is

80.73 cm

^{3}(app.)89.83 cm

^{3}(app.)76.33 cm

^{3}(app.)78.43 cm

^{3}(app.)

**Q.**The ratio of the radius and the height of a right cone is 5:9. Then the ratio of total surface area to curved surface of the cone is :

- 2:3
- 4:9
- 18:13
- 9:4

**Q.**

If the ratio of volume to total surface area of a solid sphere is 8 : 1, then radius of the sphere is ___.

8 units

2√2 units

24 units

64 units

**Q.**

The total surface area of a hemispherical bowl of diameter 28 cm is

1600 cm

^{2}1800 cm

^{2}1648 cm

^{2}1848 cm

^{2}

**Q.**

The ratio of the radius to the height of a right cone is 3:4. Then the ratio of total surface area to curved surface of the cone is____.

2:3

3:5

7:9

8:5

**Q.**

A tent of height $33m$ is in the form of a right circular cylinder of diameter $120m$ and height $22m$ surmounted by a right circular cone of the same diameter Find the cost of canvas of the tent at the rate of $1.50Rsper{m}^{2}$.

**Q.**The ratio of the radius to the height of a right cone is 3:4. Then the ratio of total surface area to curved surface of the cone is

- 2:3
- 8:5
- 5:8

**Q.**A cylinder of same height and radius is placed on the top of a hemisphere. Find the curved surface area of the shape if the length of the shape be 7 cm.

**Q.**

An ice cream cone has base radius 6 cm and altitude 8 cm. The total surface area of 21 such cones is

5226 cm

^{2}4356 cm

^{2}5280 cm

^{2}6336 cm

^{2}

**Q.**

**Question 3 (i)**

A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5 m.

(i) How many students can sit in the tent, if a student on an average occupies 57m2 on the ground?

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

(a) 4 : 5

(b) 25 : 16

(c) 16 : 25

(d) 5 : 4

**Q.**

The curved surface area of a cone is 308cm2 and its slant height is 14 cm. Find the radius of the base and total surface area of the cone.

**Q.**The ratio of the total surface area of a sphere and a hemisphere of same radius is

(a) 2 : 1

(b) 3 : 2

(c) 4 : 1

(d) 4 : 3

**Q.**Find the total surface area of a hemisphere and a solid hemisphere each of radius 10 cm (Use $\mathrm{\pi}=3.14$)

**Q.**The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratio of the surface areas of the balloons in two cases is

(a) 1 : 4

(b) 1 : 3

(c) 2 : 3

(d) 1 : 2

**Q.**

Find the volume of a cone with a radius of $6$ centimeters and a height of $15$centimeters. Round your answer to the nearest tenth.

**Q.**A hemispherical bowl is made of steel 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl. [Use π = $\frac{22}{7}$]