R K Bansal Solutions for Chapter: Surface Area, Volume and Capacity (Cuboid , Cube and Cylinder), Exercise 4: EXERCISE 21(D)

Find the curved surface area and the total surface area of a right circular cylinder whose height is $15 \mathrm{cm}$ and the diameter of the cross-section is $14 \mathrm{cm}$. $\left[\pi =\frac{22}{7}\right]$

The ratio between the curved surface area and the total surface area of a cylinder is $1:2$. Find the ratio between the height and the radius of the cylinder. 

The total surface area of a cylinder is $6512{ \mathrm{cm}}^2$ and the circumference of its base is $88 \mathrm{cm}$. If its radius is $k \mathrm{cm}$, find $k$. $\left[\pi =\frac{22}{7}\right]$

The total surface area of a cylinder is $6512{ \mathrm{cm}}^2$ and the circumference of its base is $88 \mathrm{cm}$. If its volume is $k {\mathrm{cm}}^3$, find $k$. $\left[\pi =\frac{22}{7}\right]$

The sum of the radius and the height of a cylinder is $37 \mathrm{cm}$ and the total surface area of the cylinder is $1628{ \mathrm{cm}}^2$. Find the height and the volume of the cylinder. $\left[\pi =\frac{22}{7}\right]$

A cylindrical pillar has radius $21 \mathrm{cm}$ and height $4 \mathrm{m}$. If the curved surface area of the pillar is $k {\mathrm{cm}}^2$ in a decimal number, find $k$. Take $\mathrm{\pi }=\frac{22}{7}$.
 

A cylindrical pillar has radius $21 \mathrm{cm}$ and height $4 \mathrm{m}$. If the cost of polishing $36$ such cylindrical pillars at the rate of $₹12$ per ${\mathrm{m}}^2$ is $₹k$ in a decimal number, find $k$.  Take $\mathrm{\pi }=\frac{22}{7}$.

If radii of two cylinders are in the ratio $4:3$ and their heights are in the ratio $5:6$, find the ratio of their curved surfaces.