Total surface area of a right circular cylinder

Q.

You have two 8.5-by-11-inch pieces of paper. You form the lateral surfaces of two different cylinders by taping together a pair of opposite sides on each piece of paper so that one cylinder has a height of 8.5 inches and the other has a height of 11 inches. Without calculating, compare the surface areas of the cylinders (including the bases). Explain.

Q.

Question 28

If R is the radius of the base of the hat, then the total outer surface area of the hat is

a) $\pi r(2h+R)$
b) $2\pi r(h+R)$
c) $2\pi rh+\pi R^2$
d) None of these

Q. A rectangular sheet of width $14$ m is rolled along its width and is converted to form a cylinder. Find the radius of cylinder.

1. $\frac{22}{49}$
2. $\frac{44}{29}$
3. $\frac{49}{22}$
4. None

Q.

The cost of painting the 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. A cylinder is formed by rolling a rectangular sheet along its length as shown in the figure. The radius of the cylinder is _____ cm.

1. $\frac{5}{\pi }$
2. $\frac{\pi }{5}$
3. 5
4. $\frac{5}{2\pi }$

Q. The curved surface area of a cylindrical glass is 50 sq. cm. If its base is of 20 sq. cm, total surface area of the glass is ____ .

1. 90 sq. cm
2. 70 sq. cm
3. 80 sq. cm
4. 55 sq. cm

Q. Find the height of a cylinder with radius of base $3.5cm$ and lateral surface area $440c{m}^2$.

1. $10cm$
2. $20cm$
3. $40cm$
4. None of these

Q. The ratio of radii of two cylinders is $1:\sqrt{3}$ and their heights are in the ratio 2 : 3. The ratio of their curved surface area is:

1. $4:3\sqrt{3}$
2. $2:3\sqrt{3}$
3. $3:2\sqrt{3}$
4. $1:\sqrt{3}$

Q. The external surface area of a hollow cylinder is $540\pi sq.cm$. Its internal diameter is $16cm$ and height is $15cm$. Find the total surface area.

1. $1300\pi {cm}^2$
2. $1320\pi {cm}^2$
3. $1600\pi {cm}^2$
4. None of these

Q. The area of a minor sector of $\odot (P,30)$ is $300{cm}^2$. The length of the corresponding arc in ................. $cm$.

1. $20$
2. $10$
3. $30$
4. $40$

Q.

The total surface area of a cylinder = _____

1. $2\pi rh$

2. $2\pi r(h+r)$

3. $2\pi rh+\pi r^2$
4. $2\pi r^2$

Q. The ratio between curved surface area and total surface area of a cylinder is $2:3$. If the total surface area be $924c{m}^2$, find the volume of the cylinder.

1. $2156c{m}^3$
2. $1256c{m}^3$
3. $1265c{m}^3$
4. $1862c{m}^3$

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.

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 $m^2$

2. 220 $m^2$

3. 220 $c{m}^2$

4. 2200 $c{m}^2$

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 $m^2$)

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