A shuttle cock 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 cm and 2 cm. The height of the entire shuttle cock is 7 cm. Find its external surface area.

What is the ratio of the volume of a cylinder, a cone, and a sphere. If each has the same diameter and same height?

Find the number of coins, 1.5 cm is diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.

A spherical ball of iron has been melted and made into small balls. If the radius of each smaller ball is one-fourth of the radius of the original one, how many such balls can be made?

A wooden article was made by scooping out a hemisphere from each end of a cylinder as shown in figure. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm find the total surface area of the article.

The diameter of a roller is 84 cm and its length is 120 cm, It takes 500 complete revolutions to move once over to level a playground. Find the area of the play ground (in sq. m).

The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white washing its curved surface area at the rate of Rs 210 per 100 m²?

The diameter of the moon is approximately one fourth of the diameter of the Earth. Find the ratio of their surface areas.

The radii of circular ends of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. Find its total surface area.

The sum of the radius of the base and the height of a solid cylinder is 37 m If the total surface area of the solid cylinder is 1628 m², find the circumference its base and volume of the cylinder.

A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained

The diameter of a metallic ball is 4.2 cm. what is the mass of ball if the density of the metal is 8.9 g per cm³?

A bucket is in the form of a cone. Its depth is 24 cm and the diameters of the top and bottom ends are 30 cm and 10 cm respectively. Find the capacity of the bucket.

Find the number of spherical lead shots, each of diameter 6 cm that can be made from a solid cuboids of lead having dimensions 24 cm x 22 cm x 12 cm

A cylindrical bucket 32 cm high and with radius of base 18 cm, is filled with sand completely This bucket is emptied on the ground and a conical heap of sand is formed. The height of the conical heap is 24 cm, find the radius and slant height of the heap.

A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly and around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.