Curved surface area of a Right Circular cone

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

1. $10\%$
2. $12.1\%$
3. $20\%$
4. $21\%$

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

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.

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 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. $12\pi {cm}^2$

4. $15\pi {cm}^2$

Q.

If the height of the cylinder is doubled, by what number must the radius of the base be multiplied so that resulting cylinder has the same curved surface area as the original cylinder?

1. 2
2. 4
3. 0.25
4. 0.5

Q.

In a birthday, 25 caps are required which are of conical shape. The dimensions of conical cap must be 10 cm (height) and 24 cm (radius). If the material used for making these caps is paper which is in rectangular shape. The length of paper is 24 cm, then the width of paper is ________.

1. 24π cm

2. 26π cm

3. 52π cm

4. 72π cm

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. What is the approximate total surface area of a right circular cone of height 14 cm and base radius 7 cm? $\left(inc{m}^2\right)$

1. 344
2. 430
3. 499
4. 550

Q.

A right angled triangle having its base and height equal to 24 $cm$ and 7 $cm$ respectively is rotated by 360⁰ along its base. Find the curved surface area of the resultant figure.

1. $520c{m}^2$
2. $550c{m}^2$
3. $450c{m}^2$
4. $1460c{m}^2$