Right Circular Cone

Q.

What is the shape of the base of a right circular cone?

1. Square

2. Circle

3. Semicircle

4. Rectangle

Q.

The radius of a cone is $5cm$ and vertical height is $12cm$. Find the area of the curved surface.

Q.

Pavan drew a triangle $ABC$ right angled at $B.$ He says if the right angled triangle is rotated along $AB$ then it will result in a cone.

1. True

2. False

Q.

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

1. $14\pi {cm}^2$

2. $16\pi {cm}^2$

3. $15\pi {cm}^2$

4. $12\pi {cm}^2$

Q. Which among the given options correctly represents the pair of figures we get when we cut open the right circular cone(closed at the bottom) of radius(r) and slant height(l)?

1. 
2. None of the above
3. 
4. 

Q. In the figure, $PQ$ is a transverse common tangent to two circles with centres $A$ and $B$ and of radii $5cm$ and $3cm$ respectively. If $PQ$ intersects $AB$ at $C$ such that $CP=12cm$, then $AB$ is

1. 20.8cm
2. 16.54cm
3. 42.84cm
4. 15.84cm

Q.

The height and radius of a cone is 6 cm and 3 cm respectively .The volume of cone is equal to___$\pi {cm}^3$.

Q. The diagram shows a cone. The radius of its base is $2.8$ cm and its slant height is $8$cm. Find the area of its curved surface $(\pi =\frac{22}{7})$.

1. $70.4$ cm${}^2$
2. $80.4$ cm${}^2$
3. $90.4$ cm${}^2$
4. None of these

Q. The diameter of a cone is $1.4cm$. Its slant height is $4.2cm$. Find curved surface area.

1. $9.24{cm}^2$
2. $2.24{cm}^2$
3. $8.14{cm}^2$
4. $6.94{cm}^2$

Q.

Question 6
A cylinder and a right circular cone are having the same base and same height. The volume of the cylinder is three times the volume of the cone.

Q.

The circumference of the base of a cone is 44 cm and its slant height is 25 cm. Find the volume of the cone.

1. $1232c{m}^3$
2. $1232000c{m}^3$

3. $681c{m}^3$

4. $6.81c{m}^3$

Q. Find the curved surface area of a cone with a radius of $4.9cm$ and a slant height of $14cm$.

1. $225.6{cm}^2$
2. $235.6{cm}^2$
3. $215.6{cm}^2$
4. $245.6{cm}^2$

Q.

Among a cylinder (of radius r and height h=r), a cone (of radius r and height h=r) and a sphere of radius r the __ will have the maximum volume.