Curved Surface Area of Cylinder

Q.

The curved surface area of a cylinder is 264 $m^2$ and its volume is 924 $m^3$. Find the ratio of its height to its diameter.

1. $\frac{2}{7}$

2. $\frac{5}{7}$

3. $\frac{3}{7}$

4. $\frac{4}{7}$

Q.

The area of the sheet of wrapping paper is equal to the lateral surface area of a cylindrical tube.

The tube is 14 inches tall. What is the surface area of the tube, including the bases?

Explain your reasoning.

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

1. 220 m${}^2$
2. 210 m${}^2$
3. 230 m${}^2$

Q. The curved surface area of a cylindrical pillar is $264m^2$ and its volume is $924m^3$. Then find the ratio of its diameter to its height.

1. $\frac{11}{3}$
2. $\frac{7}{3}$
3. $\frac{5}{3}$
4. $\frac{13}{3}$

Q. A solid cylinder has total surface area of $462c{m}^2$. Its curved surface area is one-third of its total surface are. Find the volume of the cylinder (Take $\pi =\frac{22}{7}$)

1. $224$
2. $845$
3. $664$
4. None of the above

Q.

A cylindrical container is of depth 20 m and of radius 0.7 m. Find the curved surface area of cylindrical container.

1. 385

2. 192.5

3. 96.25

4. 770

Q.

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If a 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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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 in metre.
[ $\text{Take}\pi =\frac{22}{7}$ ]

1. 1.75

Q.

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If a 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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Q. The diameter of the base of a right circular cylinder is 20 m and its height is 42 m. Find its curved surface area.

1. 2210 $m^2$
2. 5280 $m^2$
3. 1320 $m^2$
4. 5386 $m^2$

Q.

The ratio of volume of two cylinders of the same height is 49 : 64. The ratio of their curved surface area is

1. 49 : 64

2. 8 : 9

3. 7 : 8

4. 7 : 9

Q. In a temple, there are $25$ cylindrical pillars. the radius of each pillar is $28cm$ and height $4m$. Find the total cost of painting the curved surface area of pillars at the rate of Rs. $8$ per $m^2$

Q. A cylinder has a radius and height of 1 cm and 7 cm respectively. Its curved surface area will be equal to

1. 44 cm²
2. 72 cm²
3. 22 cm²
4. 56 cm²