Total Surface Area of a Right Circular Cylinder

Q.

The dimensions of a room are $9m\times 8m\times 6.5m.$ It has one door of dimensions $2m\times 1.5m$ and two windows each of dimensions $1.5m\times 1m.$ Find the cost of whitewashing the walls at $Rs.6.40$ per $m^2$.

Q. Total surface area of a cylinder whose radius is 4 cm and height is 10 cm is .

1. $452{\text{cm}}^2$
2. $342{\text{cm}}^2$
3. $352{\text{cm}}^2$
4. $652{\text{cm}}^2$

Q.

The ratio of lateral surface areas of two cylinders with equal heights as 'h' and radii as 'R' and 'r' respectively is :

1. R:r

2. R²: r²

3. H:h

4. 1

Q.

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If painter takes Rs. 40 per metre square to paint the cylindrical container, then find radius of the cylindrical vessel.

1. 1.75 m

2. 3.5 m

3. 7 m

4. 6 m

Q. Total surface area of a cylinder is equal to

1. circumferenceof base radius of base height

2. Circumference of base area of base height

3. radius of base height diameter
4. radius of base base area height

Q.

The total surface area of a right circular cylinder of height 9 m is 440 sq. meter. Find the radius of the cylinder. $(Take\pi =\frac{22}{7})$

1. 2.5m

2. 5m

3. 7.5 m

4. 10m

Q.

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

Q. The cost of $4$ pens and $4$ pencil boxes is Rs $100$. Three times the cost of a pen is Rs $15$ more than the cost of a pencil box. The cost of a pen and a pencil box respectively are

1. Rs $15$ and Rs $8$
2. Rs $10$ and Rs $15$
3. Rs $12$ and Rs $10$
4. Rs $16$ and Rs $12$

Q.

The total surface area of a cylinder = $2\pi rh+\pi r^2$

1. True

2. False

Q.

$Thetotalsurfaceareaofacylinder$ = $2\pi rh+\pi r^2$

1. True

2. False

Q. Fill in the blanks the statements are true.
The surface area of a cylinder which exactly fits in a cube of side b is ________.

Q.

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. Painter takes Rs. 40 per metre square to paint the cylindrical container. Find the inner curved surface area of the vessel.(in $m^2$)

__

Q.

Which part of the formula $S=2{\mathrm{\pi r}}^2+2\mathrm{\pi rh}$ represents the lateral surface area of a cylinder? the areas of the bases?

Q. A big iron boiler tank has a cylindrical structure which is open from the top. Its height is 10 m and radius is 7 m. It gets painted at a rate of 3 m${}^2$ per day. Then find the number of days in which the tank gets painted completely? (Take $\pi =\frac{22}{7}$)
$\left[3Marks\right]$

Q. The total surface area of a solid cylinder is $616$ $c{m}^2$. If the ratio between its curved surface area and total surface area is $1:2$; find the volume of the cylinder.

1. $1078$ cu. cm
2. $1070$ cu.cm
3. $1700$$ cu.cm
4. $1087$ cu. cm

Q.

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If the Painter charges Rs. 40 per metre square to paint the cylindrical container, find the inner curved surface area of the vessel(in $m^2$) ___

Q.

The cost of painting curved surface area of a cylindrical pillar of height 10 m and radius 3.5 m at Rs.10 per sq. meter is Rs.2200.
(Take pi=$\frac{22}{7}$)

1. True

2. False

Q.

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is ₹ 8800. If the painter charges ₹ 40 per metre square to paint the cylindrical container, then find its radius.
[ $\text{Take}\pi =\frac{22}{7}$ ]

1. 1.75 m

2. 3.5 m

3. 7 m

4. 6 m

Q.

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

1. 22 $m^2$

2. 44 $m^2$

3. 88 $m^2$

4. 11 $m^2$

Q.

Raghu needs to make a cylindrical aluminum tube. What will be the area of the aluminum sheet required to make the tube, if the length and radius of the tube should be 1 $m$ and 3.5 $cm$ respectively [Top and bottom of the tube are of another material]?

($use\pi =\frac{22}{7}$)

1. 2200 $c{m}^2$

2. 2200 $m^2$

3. 220 $m^2$

4. 220 $c{m}^2$

Q.

The only circular part in a cylinder is its base.

1. True

2. False