Volume and Surface Area of Cylinder

A rectangular paper is of size $44 \mathrm{cm}\times 14 \mathrm{cm}$ is rolled to form a cylinder of height $14 \mathrm{cm}$. Find the volume of the cylinder.$\left(\mathrm{Take} \pi =\frac{22}{7}\right)$

Earth dug out on making a circular tank of radius $7 \mathrm{m}$ is spread all around the tank uniformly to a width of $1 \mathrm{m}$ to form an embankment of height $3.5 \mathrm{m}$. Calculate the depth of the tank.

The capacity of an open cylindrical tank is $2079 m^3$ and the diameter of its base is $21 \mathrm{m}$. Find the cost of plastering its inner surface at $₹ 40$ per square metre.

The diameter of a garden roller is $1.4 \mathrm{m}$ and it is $2 \mathrm{m}$ long. If the area it will cover in $5$ revolutions is $k m^2$, then find the value of $k$?

A rectangular paper is size $22 \mathrm{cm}\times 14 \mathrm{cm}$ is rolled to form a cylinder of height $14 \mathrm{cm}$. Find the volume of the cylinder.$\left(\mathrm{Take} \pi =\frac{22}{7}\right)$

In a building, there are $20$ cylindrical pillars. If the radius of each pillar is $0.42 \mathrm{m}$ and the height is $3 \mathrm{m}$. Then the total cost of painting the curved surface area of all pillars at the rate of $₹14 \mathrm{per} {\mathrm{m}}^2$ is $₹$_____. (Use $\mathrm{\pi }=\frac{22}{7}$)

Find the volume of the cylinder if the circumference of the cylinder is $132 \mathrm{cm}$ and height is $25 \mathrm{cm}$.

The sum of the two radii is 14 cm. What is the value of the external radius?

The total surface area of the cylinder is 2640 sq cm and the sum of the external and internal radii is 14 cm. If the height of the cylinder is 28 cm, what is the difference between the two radii of the cylinder?

The radii of 2 cylinders are in the ratio 2:3 and their heights are in the ratio 4:3. The ratio of their volumes is

Metal cubes having 5mm edge are to be melted to form a right circular cylinder of height 10 cm and diameter 3.5 cm. How many metal cubes of this size are required to make the cylinder?

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

A hollow pipe of length 35 cm is made of 2200 cm³ of metal. If the difference between its outer and inner radii is 2 cm, the measure of the inner radius _____ cm.

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

The terrace of a house measures $40’\times 30’$(Consider $1’=0.30 \mathrm{m}$). The rainwater collected on the terrace is sent through a pipe and it completely fills a cylindrical tank of diameter $1.4 \mathrm{m}$ and height $0.5 \mathrm{m}$. The height to which the rainwater is collected on the terrace is_____$\mathrm{m}$.

(Calculate up to $3$ decimal places, Use $\pi =\frac{22}{7}$)

The volume of this hollow wooden log is _____$ \text{c}{m}^{3}$.

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

Sudha wants to pour 2.75 litres of milk into a cylindrical vessel. Which one of the following vessels will exactly hold the entire volume of milk?

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

Take a look at the image given. It shows the dimensions of Vikram’s water bottle. If the bottle is filled to the brim, the volume of water it holds is _____$ {\text{inch}}^{3}$.

(Calculate to the closest whole number. Take $ \pi $ = 3.1)

$ \frac{1}{4}$th of the volume of a drum is filled with water. If the diameter of the drum is 64 cm and the height of the drum is 112 cm, the volume of the water is _____litres.

(Round off to the nearest whole number)

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

The volume of the given cylinder = _____ ${\mathrm{cm}}^3$

What is the volume of this cylinder?

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