Curved Surface area of a right circular cylinder

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$Rs.12.50per{m}^2$. (Assume $\pi =22/7$)

Q. In a building there are $24$ cylindrical pillars. The radius of each pillar is $28cm$ and height is $4cm$. Find the total cost of painting the curved surface area of all pillars at the rate of $Rs.8per{m}^2$.

Q.

A thin cylindrical thin can hold only one litre of paint. What is the height of the tin if the diameter of the tin is 14 cm? (One litre = 1000 cc)

Q. 76.Find the ratio of the total surface area of a cylinder to its curved surface area , given hat its height and radius are 35 cm and 14 cm respectively .

Q.

Question 3
A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.

Q. 7. A metal pipe is 77 m long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Find its- 1. Inner curved surface area 2. Outer curved surface area. 3. Total surface area.

Q. Find the ratio of the total surface area of a cylinder to its curved surface area , given hat its height and radius are 35 cm and 14 cm respectively .

Q. A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.

Q.

There is a solid cylinder of base radius 5 cm and height 10 cm. From one of the flat ends of the solid cylinder a hemispherical depression having same radius as cylinder is hollowed out. What is the total surface area (in sq.cm) of this new solid?

1. 175$\pi$

2. 75$\pi$

3. 100$\pi$

4. 120$\pi$

Q.

A circus tent is cylindrical to a height of 3 m and conical above it. If its base radius is 52.5 m and the slant height of the conical portion is 53 m, find the area of canvas needed to make the tent. $[Take\pi =\frac{22}{7}]$

Q. Question 14
Find the number of metallic circular disc with 1.5 cm base diameter and of height 0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm

Q. If the width of a hollow cylinder is 2 cm.Its internal diameter is 14 cm and height 26 cm. The two ends of cylinder are opened . Find the total surface area of the hollow cylinder

Q.

Sachin wants to make a pet house for his dog with length, breadth and height of 3m, 2m and 1m respectively. What is the area of walls inside the pet house that has to be painted? [3 MARKS]

Q. A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that ${1cm}^3$ of iron has approximately 8 g mass. (Use $\pi =3.14$)

Q. Question 6
A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 $c{m}^3$ of iron has approximately 8 g mass.

Q. A rectangular sheet of paper 22 cm long and 10 cm broad can be curved to form the lateral surface area of a right circular cylinder in two ways Then the difference between the volumes of the two cylinders thus formed is

1. $200$ $c{m}^3$
2. $210$ $c{m}^3$
3. $250$ $c{m}^3$
4. $252$ $c{m}^3$

Q. The formula for finding the total surface area of a cylinder having cone shaped lid at both the ends, will be

1. $\pi r(l+2r)$
2. $\pi r(2h+r)$
3. $2\pi r(h+l)$
4. $2\pi r(h+2r)$

Q. A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends .The length of the entire capsule is $14mm$ and the diameter of the capsule is $5mm$. Find its surface area. (Use $\pi =\frac{22}{7}$).

Q.

A thin cylindrical thin can hold only one litre of paint. What is the height of the tin if the diameter of the tin is 14 cm? (One litre = 1000 cc)

Q. The volume of a cylinder is $308c{m}^3$. Its height is $8cm$. Find its lateral surface area and total surface area.

Q. If the lateral surface of a cylinder is $94.2{cm}^2$ and its height is $5cm$, then find radius of its base. (Use $\pi =3.14$)

1. $3cm$
2. $2cm$
3. $4cm$
4. $5cm$

Q. A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.

Q. A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that ${1cm}^3$ of iron has approximately 8 g mass. (Use $\pi =3.14$)

Q. is surface area and curved surface area the same?

Q.

Q. The radii of two cylinders are in the ratio $2:3$ and their heights are in the ratio $5:3$. then what is the ratio of their volumes ?

1. $20:27$
2. $20:37$
3. $10:17$
4. $10:27$

Q. A road roller is cylindrical in shape. Its circular end has a diameter $250cm$ and its width is $1m40cm$. Find the least number of revolution that the roller must make in order to level a playground $110m\times 25m$.

Q. If the lateral surface of a cylinder is $94.3{cm}^2$ and its height is $5cm$, then find its volume (Use $\pi =3.14$)

1. $121.3{cm}^3$
2. $241.3{cm}^3$
3. $131.3{cm}^3$
4. $141.3{cm}^3$

Q. A well is to be dug $20$ m deep, $2.25$ m inside diameter, with a brick lining of $0.35$ m thickness. What are the quantities of brickwork?

1. $14.75$ $m^3$
2. $57.2$ $m^3$
3. $136$ $m^3$
4. $572$ $m^3$

Q. Curved surface of right circular cylinder is $4.4m^2$, radius of base is $0.7$ m, then the height is (Take $\pi =22/7)$.

1. $1$ m
2. $4$ m
3. $3$ m
4. $2$ m