Curved surface area of a Right Circular cone

Q. The height and radius of a cone are $4cm$ and $3cm$ respectively. The curved surface area of is is .

1. $14\pi {cm}^2$
2. $16\pi {cm}^2$
3. $15\pi {cm}^2$
4. $12\pi {cm}^2$

Q.

Question 6

If the height of a cylinder becomes $\frac{1}{4}$ of the original height and the radius is doubled, then which of the following will be true ?
(a) Curved surface area of the cylinder will be doubled
(b) Curved surface area of the cylinder will remain unchanged
(c) Curved surface area of the cylinder will be halved
(d) Curved surface area will be $\frac{1}{4}$ of the original curved surface

Q. Find the total surface area of a cylinder, the diameter of whose base is 7 cm and height is 60 cm.

1. 1380 $c{m}^2$
2. 1150 $c{m}^2$
3. 1397 $c{m}^2$
4. 1275 $c{m}^2$

Q. Q.19. From a solid cylinder of height 7cm and base diameter 12 cm, a conical cavity of sameheight and same base diameter is hollowed out. Find the total surface area of the remaningsolid. \lbrack Use It-Or

Q.

Question 119

The ratio between the curved surface area and the total surface area of a right circular cylinder is 1 : 2. Find the ratio between the height and radius of the cylinder.

Q.

Question 44

Total surface area of a cylinder of radius h and height r is ___

Q. What is the curved surface area of a cylinder if its height and radius are 8 cm and 2 cm respectively?

1. 16π sq cm
2. 24π sq cm
3. 20π sq cm
4. 32π sq cm

Q.

Question 115

Solve the following question:

If one side of a cube is 15 m in length, then find its volume.

Q. Find the total surface area of a cylinder, the diameter of whose base is 7 cm and height is 60 cm.

1. 1275 $c{m}^2$
2. 1397 $c{m}^2$
3. 1380 $c{m}^2$
4. 1150 $c{m}^2$

Q.

The radius and height of a cone are in the ratio 4: 3. The area of the base is 154cm². The area of the curved surface in $c{m}^2$

__

Q. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface. (in $m^2$)

1. $30\pi$
2. $40\pi$
3. $60\pi$
4. $80\pi$

Q.

The height and radius of cone 4cm and 3 cm. Fnd the curved surface area of cone.

1. 14π

2. 16π

3. 15π

4. 12π

Q. Find the curved surface area(in $c{m}^2$) of a cone of radius $21$ cm and height $28$ cm. Take $\pi =\frac{22}{7}$

Q. The height of a cone-shaped paper hat is 24 cm and the radius of the base is 7 cm. How much paper will be required to make 10 such hats?

Q.

Raghu wants to make a closed aluminium cone for his science project. The slant height and radius of the cone are 10 cm and 7 cm respectively. The area of aluminium sheet required to make the cone is ___ $c{m}^2$
(Use $\pi =3.14$)

Q. The diagram shows a solid cone. The radius of its base is $3.5$ cm and its surface area is $148.5$ cm${}^2$. What is its slant height(in cm)? $(\pi =\frac{22}{7})$

Q. If $C_1$ is a right circular cone with base radius $r_{1}cm$ and height $h_{1}cm$ and $C_2$ is a right circular cylinder with base radius $r_{2}cm$ and height $h_{2}cm$; and if $r_1:r_2=1:n$ (where $n$ is a positive integer) and their volumes are equal, then which one of the following is correct?

1. $h_1=3n{h}_2$
2. $h_1=3n^2{h}_2$
3. $h_1=3h_2$
4. $h_1=n^2{h}_2$

Q.

The height of a cone is $21cm$. Find the area of the base if the slant height is $28cm$.

Q. The height of a cone-shaped tent is 10 m and the radius of its base is 24 m. (i) What is its slant height? (ii) What is the amount of fabric required to make this tent? (π = 3.14)

Q.

There is a conical tent whose slant height is 14 $m$. If the curved surface area of cone is 308 $m^2$, then find its base area.

1. $132m^2$

2. $224m^2$

3. $254m^2$

4. $154m^2$

Q.

A circular ground of radius 50 $m$ has to be covered with a waterproof sheet. The same amount of waterproof sheet is also used for making a conical tent. If the base area of the tent is $625\pi m^2$, then the height of the tent is____$m$.

1. 90.42

2. 96.8

3. 100.6

4. 88.5