Arihant Expert Team Solutions for Exercise 1: Most Important Questions

If the volumes of a sphere and a cylinder of equal radii are same, then the ratio of the radius to the height of the cylinder will be:

A cylindrical pillar is $50$ cm in diameter and $3.5$ m in height. Find the cost of painting the curved surface of the pillar at the rate of Rs. $10$ per sq. m.

A hemispherical bowl has $3.5$ cm radius. It is to be painted inside as well as outside. Find the cost of painting it at the rate of Rs. $5$ per $10$ sq. cm.

A hollow cylindrical tube $20$ cm long is made of iron and its external and internal diameters are $8$ cm and $6$ cm respectively. The volume of iron used in making the tube is: 

$\left(\pi =\frac{22}{7}\right)$

A hollow iron pipe is $21$ cm long and its exterior diameter is $8$ cm. If the thickness of the pipe is $1$ cm and iron weight $8$ g/cm³, then the weight of the pipe is:

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

A solid metal ball of diameter $16$ cm is melted and cast into smaller balls, each of radius $1$ cm. The number of such balls is:

If base of a prism is a square of side $4$ cm. If the height of prism is $10$ cm, then what will be total surface area of that prism?

The volume of a pyramid of base area $25 {\mathrm{cm}}^2$ and height $12 \mathrm{cm}$ is: