Surface Area and Volume of Frustum of Cone

The diameters of the two circular ends of the bucket are $44 \mathrm{cm}$ and $24 \mathrm{cm}$. The height of the bucket is $35 \mathrm{cm}$. The capacity of the bucket is

The diameters of the two circular ends of the bucket are $44 \mathrm{cm}$ and $24 \mathrm{cm}$. The height of the bucket is $35 \mathrm{cm}$. The capacity of the bucket is

The radii of two circular ends of a frustum of a cone-shaped dustbin are $15 \mathrm{cm}$ and $8 \mathrm{cm}$. If its depth is $63 \mathrm{cm}$, find the volume of the dustbin in cubic centimetre. [Take $\mathrm{\pi }=\frac{22}{7}$]

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

A container opened from the top is in the form of a frustum of a cone of height $16 \mathrm{cm}$ with radii of its lower and upper ends are $8 \mathrm{cm}$ and $20 \mathrm{cm}$ respectively. Find the cost of the milk (in ₹) which can completely fill the container at the rate of $₹20$ per litre to the nearest integer. [Take $\pi =3.14]$

A shuttlecock used for playing badminton has the shape of a frustum of a cone is mounted on a hemisphere. The diameters of the frustum are $5\mathrm{cm}$ and $2\mathrm{cm}$. The height of the entire shuttlecock is $7\mathrm{cm}.$ Find its external surface area.