In a solid hemisphere of radius $10 \mathrm{cm}$, a right cone of the same radius is removed out. Find the volume and surface area of the remaining solid. Take $\left[\mathrm{\pi }=3.14 \mathrm{and} \sqrt{2}=1.41\right]$. Volume of the remaining solid is $\mathrm{k} {\mathrm{cm}}^3$. What is the value of $\mathrm{k}$?

The given figure represents a hemisphere surmounted by a conical block of wood. The diameter of their bases is $6 \mathrm{cm}$ each and the slant height of the cone is $5 \mathrm{cm}$. 

 Find the volume of the solid.

In the given figure, a hemisphere of radius $6 \mathrm{cm}$ surmounted by a right circular cone of base radius $6 \mathrm{cm}$ The height of the cone is $8 \mathrm{cm}$

If the total surface area of the solid is equal to $k c{m}^2$, then find the value of $k$. [Take $\mathrm{\pi }=3.14$]

In the given figure, a hemisphere of radius $6 \mathrm{cm}$ Surmounted by a right circular cone of base radius $6 \mathrm{cm}$. The height of the cone is $8 \mathrm{cm}$.

Calculate the volume of the solid. [Take$\mathrm{\pi }$  = 3.14]

In the given figure, it shows a metal container in the form of a cylinder surmounted by a hemisphere of the same radius. The internal height of the cylinder is $7\mathrm{m}$ and the internal radius is $3.5\mathrm{m}$. Calculate the total area of the internal surface, excluding the base (in $m^2$ ).

In the given figure, it shows a metal container in the form of a cylinder surmounted by a hemisphere of the same radius. The internal height of the cylinder is $7 \mathrm{m}$ and the internal radius is $3.5 \mathrm{m}$.

Calculate the internal volume of the container $\left(\mathrm{in} {\mathrm{m}}^3\right)$.

In the given figure, toy is in the shape of a right· circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are $13 \mathrm{cm}$ and $5 \mathrm{cm}$,respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if height of the conical part is $12 \mathrm{cm}$

A wooden toy is in the shape of a cone mounted on a cylinder as shown in the following the figure. If the height of the cone is $24 \mathrm{cm}$ the total height of the toy is $60 \mathrm{cm}$ and the radius of the base of the cone is equal to twice the radius of the base of the cylinder is $10 \mathrm{cm}$; then find the total surface area of the toy. [Take $\mathrm{\pi }=3.14$]. (Write the decimal answer upto one decimal place with ${\mathrm{cm}}^2$.)