A cubical block of side $10 \mathrm{cm}$ is surmounted by a hemisphere. What is the largest diameter that the hemisphere can have? Find the cost of painting the total surface area of the solid so formed, at the rate of $₹5$ per $100 \mathrm{sq} \mathrm{cm}$. $\mathrm{\pi }=3.14$
If the cost of painting the total surface area of the solid so formed, at the rate of $₹5$ per $100 \mathrm{sq} \mathrm{cm}$ is $₹k$, then find $k$.

If the surface area of the toy is $k {\mathrm{cm}}^2$, then find $k$ ?(Use $\mathrm{\pi }=\frac{22}{7}$)

The inner diameter of a glass is $7 \mathrm{cm}$ and it has a raised portion in the bottom in the shape of a hemisphere, as shown in the figure. If the height of the glass is $16 \mathrm{cm}$ and the apparent capacity of the glass is $p {\mathrm{cm}}^3$, the actual capacity of the glass is $k {\mathrm{cm}}^3$, then find $\left(p+k\right)$. (Correct up to two decimal places and Use $\mathrm{\pi }=\frac{22}{7}$)

A wooden toy is in the shape of a cone mounted on a cylinder, as shown in the figure. The total height of the toy is $26 \mathrm{cm}$ while the height of the conical part is $6 \mathrm{cm}$. The diameter of the base of the conical part is $5 \mathrm{cm}$ and that of the cylindrical part is $4 \mathrm{cm}$. The conical part and the cylindrical part are respectively painted red and white. Find the area to be painted by each of these colours. $[$Take $\mathrm{\pi }=\frac{22}{7}$]

If the area to be painted by white is $k {\mathrm{cm}}^2$, then find $k$ ?

A cone of height $20 \mathrm{cm}$ and radius of base $5 \mathrm{cm}$ is made up of modelling clay. A child reshapes it in the form of a sphere. Find the diameter of the sphere.

If the diameter of the sphere is $\mathrm{k} \mathrm{cm}$, find the value of $k$ ?