The slant height of a frustum of a cone is $4 \,cm$ and the perimeters (circumference) of its circular ends are $18 \,cm$ and $6 \,cm$. Find the curved surface area of the frustum in $cm^2$.

Hanumappa and his wife Gangamma are busy making jaggery out of sugarcane juice. They have processed the sugarcane juice to make the molasses,which is poured into moulds in the shape of a frustum of a cone having the diameters of its two circular faces as $30 \,cm$ and $35 \,cm$ and the vertical height of the mould is $14 \,cm$ (see figure). If each $cm^3$ of molasses has a mass of about $1.2 \,g$,find the mass of the molasses that can be poured into each mould (in $kg$). [Take $\pi = \frac{22}{7}$]

$A$ juice seller was serving his customers using glasses as shown in the figure. The inner diameter of the cylindrical glass was $5 \, cm$,but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of a glass was $10 \, cm$,find the apparent capacity of the glass and its actual capacity (in $cm^3$). (Use $\pi = 3.14$)

$A$ drinking glass is in the shape of a frustum of a cone of height $14 \, cm$. The diameters of its two circular ends are $4 \, cm$ and $2 \, cm$. Find the capacity of the glass. [Use $\pi = \frac{22}{7}$]

$A$ cylindrical bucket,$32 \, cm$ high and with a base radius of $18 \, cm$,is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is $24 \, cm$,find the radius and slant height of the heap. [Take $\pi = \frac{22}{7}$]

$A$ container shaped like a right circular cylinder having diameter $12 \, cm$ and height $15 \, cm$ is full of ice cream. The ice cream is to be filled into cones of height $12 \, cm$ and diameter $6 \, cm$,having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream. [Take $\pi = \frac{22}{7}$]