Frustum of a Cone

The slant height of a bucket is $26 \mathrm{cm}$. The diameter of upper and lower circular ends are $36 \mathrm{cm}$ and$16 \mathrm{cm}$ . The height of the bucket is

A conical paper cup with height $16 \mathrm{cm}$ and base radius $6 \mathrm{cm}$ is filled to the top with water. If $19/27$ of the water is removed, then water level in the cup will drop by ($\mathrm{in} \mathrm{cm}$)

A bucket is in the form of a frustum of a cone and it can holds $28.49$ litres of water. The radii of the top and bottom of the bucket are $28 \mathrm{cm}$ and $21 \mathrm{cm}$ respectively. Then slant height of the bucket is (use $\pi =\frac{22}{7}$)

A conical vessel of radius $6$ cm and height $8$ cm is completely filled with water. A metal sphere is now lowered into the water. The size of the sphere is such that when it touches the inner surface, it just gets immersed. The fraction of water that overflows from the conical vessel is

The height of a frustum of a right cone is $12$ cm and a diagonal of its axial section is $15$ cm. Radii of the bases of this frustum are in the ratio of $1:2$. Find the volume of the frustum. $(\pi =3)$
 

Radii of the base of a frustum of a right cone are in the ratio of $1:3$. The slant height of the frustum is $8$ cm and makes $60°$with the base of the cone. The volume of frustum is $k\left(\frac{208\pi }{3}\right)$. Find the value of k.
 

The slant height of right circular cone is $10$ cm and its height is $8$ cm. It is cut by a plane parallel to its base passing through the mid-point of the height. The ratio of the volume of the cone to that of the frustrum of the cone cut is

Find the product of radii of the base of a frustum of a right cone if its lateral area is $323 cm²$, its slant height is $17 cm$, and its height is $8 cm$.
 

Given a frustum of a right cone with circumference of the bases as $4\pi$ сm and $16\pi$ cm. The height of the frustum of the cone is $8$ cm. Find its total surface area.

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