A heap of rice in the form of a cone of base diameter $24 \mathrm{m}$ and height $3.5 \mathrm{m}$. Find the volume of rice. How much canvas cloth is required to just cover the heap?

The diameters of the lower and upper ends of a bucket in the form of frustum of a cone are $10 \mathrm{cm}$ and $30 \mathrm{cm}$ respectively. If its height is $24 \mathrm{cm}$, find

(i) the area of the metal sheet used to make the bucket.

(ii) Why we should avoid the bucket made by ordinary plastic? [Use $\mathrm{\pi }=3.14$]

A bucket in the form of a frustum of a cone of height $30 \mathrm{cm}$ with radii of its lower and upper ends as $10 \mathrm{cm}$ and $20 \mathrm{cm}$, respectively. Find the capacity of the bucket. Also find the cost of milk which can completely fill the bucket at the rate of $₹40$ per litre. $\left(\mathrm{Use} \mathrm{\pi }=\frac{22}{7}\right)$

A solid piece of metal in the form of a cuboid of dimensions $11 \text{cm}\times 7 \text{cm}\times 7 \text{cm}$ is melted to form $\text{'}n\text{'}$ number pf solid spheres of radii $\frac{7}{2} \text{cm}$ each. Find the value of $n$

The tent is in the shape of a cylinder surrounded by a conical top. If the height and diameter of cylindrical part are $9 \text{m}$ and $30 \text{m}$ respectively and height of conical part is $8 \text{m}$ with same diameter as that of the cylindrical part, then find the area of the canvas used in making the tent.