Tamil Nadu Board Solutions for Chapter: Mensuration, Exercise 19: Unit Exercise

Shall we get a hemisphere when a sphere is cut along the small circle?

T.S.A of a hemisphere is equal to how many times the area of its base?

How many hemispheres can be obtained from a given sphere?

Give two real life examples for a frustum of a cone.

The slant height of a frustum of a cone is $4 \mathrm{m}$ and the perimeter of circular ends are $18 \mathrm{m}$ and $16 \mathrm{m}$. If the cost of painting its curved surface area at $₹100 \mathrm{per} \mathrm{sq}.\mathrm{m}$ is $₹\mathrm{A}$ then find the value of $\mathrm{A}$ (Take$\pi =\frac{22}{7}$ )

A hemispherical hollow bowl has a material of volume $\frac{436\pi }{3} {\mathrm{cm}}^3$. Its external diameter is $14 \mathrm{cm}.$ Find its thickness.

The volume of a cone is $1005\frac{5}{7} \mathrm{cu}. \mathrm{cm}$. The area of its base is $201\frac{1}{7} \mathrm{sq}. \mathrm{cm}$. Find the slant height of the cone.

 A metallic sheet in the form of a sector of a circle of radius $21 \mathrm{cm}$ has a central angle of $216°$. The sector is made into a cone by bringing the bounding radii together. If the volume of the cone is $k {\mathrm{cm}}^2$ rounded off to two decimal places, find the value of $k$. (Take $\mathrm{\pi }=\frac{22}{7}$ )