Volume of Cube, Cuboid and Cylinder

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

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

Find the volume in ${\mathrm{cm}}^3$, of a cube whose edges measure $5 \mathrm{cm}$.

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})$

Sheela tried to form a shape using the given net. The volume of the figure that Sheela made is _____ cubic units.

The volume of a rubik’ cube is 729 cubic centimetre.

The length if the cube is _____ cm.