Frustum of a Cone

A container, open at top, and made of a metal sheet, is in the form of a frustum of cone of height $24 \mathrm{cm}$ with radii of its lower and upper ends as $7 \mathrm{cm}$ and $14 \mathrm{cm}$ respectively. Find the cost of milk which can completely fill the contained at the rate of rupees $25$ per $\mathrm{litre}$. Also, find the area of the metal sheet used to make the container.

The slant height of a frustum of a cone is $4 \mathrm{cm}$ and the perimeters of its circular ends are $18 \mathrm{cm}$ and $16 \mathrm{cm}$, then find the curved surface area of the frustum of the cone.

The slant height of a frustum of a cone is $4\mathrm{cm}$ and the perimeters of its circular ends are $18 \mathrm{cm}$ and $16 \mathrm{cm}$, then find the curved surface area of the frustum of the cone.

A cone is cut by a plane parallel to its base and the small cone that obtained is removed then the remaining part of the cone 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

If we join two hemispheres of the same radius along their bases, then we get a

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.