Curved Surface Area of a Right Circular Cone

Q. The radius and height of a cone are in the ratio $4:3$. The area of the base is $616$ $c{m}^2$. The area of the curved surface (in $c{m}^2$) of the cone is _____. (Given π = $\frac{22}{7}$)

1. 670
2. 770
3. 870
4. 970

Q. CSA of cylinder having radius 5 cm and height 14 cm is .

1. 440 cm${}^2$
2. 140 cm${}^2$
3. 460 cm${}^2$

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.

If the area of a circle with radius r is equal to the curved surface area of cone with radius $r_1$ and slant height l then the value of $r_1$ in terms of r and l is:

1. $r_1$ = $\frac{r^2}{l}$

2. $r_1$ = $\pi rl$

3. $r_1$ = $rl$

4. $r_1$ = $\frac{r}{l}$

Q.

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

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. A cylindrical pillar is $50cm$ in diameter and $3.5m$ in height. Find the cost of painting the curved surface of the pillar at the rate of $12.50m^2$

Q. The radius and height of a cone are in the ratio $4:3$. The area of the base is $616$ $c{m}^2$. The area of the curved surface (in $c{m}^2$) of the cone is _____. (Given π = $\frac{22}{7}$)

1. 870
2. 970
3. 770
4. 670

Q.

Monica has a piece of canvas whose area is 551 $m^2$.She uses it to have a conical tent made, with a base radius of 7 m.Assuming that all the stitching margins and wastage incurred while cutting, amounts to approximately 1 $m^2$.Find the volume of the tent that can be made with it.

Q. Radius and slant height of a solid right circular cone are $35cm$ and $37cm$ respectively. Find the curved surface area and total surface area of the cone. (Take $\pi =\frac{22}{7})$

Q. If the cost of painting the CSA of a cylinder of height 20 m at ₹ 40 per sq.m is ₹ 8800, then find the radius of the cylinder

Q. A heap of wheat is in the form of a cone whose diameter is $10.5m$ and height is $3m$. Find its volume.
The heap is to be covered by canvas to protect it from the rain. Find the area of the canvas required.
$[Assume\pi =\frac{22}{7}]$

Q. CSA of cylinder having radius 5 cm and height 14 cm is .

1. 440 cm${}^2$
2. 140 cm${}^2$
3. 460 cm${}^2$

Q. A heap of wheat is in the form of a cone whose diameter is $10.5m$ and height is $3m$. Find its volume.
The heap is to be covered by canvas to protect it from the rain. Find the area of the canvas required.
$[Assume\pi =\frac{22}{7}]$

Q. The ratio of the total surface area and the lateral surface area of a right cone is 4 : 3 and its height is 8 m, then its base area is approx

1. $33m^2$
2. $24m^2$
3. $21m^2$
4. $27m^2$

Q. A conical tent is $12$ m high with base radius of $6$ m. Find number of persons it can accommodate, if each person requires $4m^2$ on ground.

1. $30$
2. $8\pi \simeq 24$
3. $9\pi \simeq 27$
4. $33$

Q. Find the CSA of a cylindrical container of depth 20 m and radius 0.7 m.

Q. The curved surface area of a cone is $4070{cm}^2$ and its diameter is $70cm$. What is its slant height (in $cm$)?

Q. Question 9
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume.
The heap is to be covered by canvas to protect it from the rain. Find the area of the canvas required.
$[Assume\pi =\frac{22}{7}]$

Q. CSA of cylinder having radius 5 cm and height 14 cm is .

1. 440 cm${}^2$
2. 460 cm${}^2$
3. 140 cm${}^2$

Q. A sphere fits exactly inside a right circular cone with base area $154{cm}^2$ as shown. What is the radius of the sphere if the height and slant height of the cone are integers?

1. $21/4cm$
2. $41/2cm$
3. $6cm$
4. $51/4cm$

Q. The radius and height of a cone are in the ratio $4:3$. The area of the base is $616$ $c{m}^2$. The area of the curved surface (in $c{m}^2$) of the cone is _____. (Given π = $\frac{22}{7}$)

1. 970
2. 670
3. 870
4. 770