Total surface area of a cone= .........

The slant height of the frustum of cone (l) = ................

Toy (Latto) is a solid which is a combination of ............. and .............

If the surface area of a sphere is 6161 cm², then its radius is equal to ...............

Volume of the frustum of a cone is .............

A solid cylinder of radius r and height h is placed over other cylinder of same height and radius.The surface area of the shape so formed is \(4\pi rh+4\pi r^2\)

In a box whose dimensions are 12cm x 4cm x 3cm, what is the length of the longest stick that can be placed?

A spherical ball of diameter 21 cm is melted and recasted into cubes, each of side 1 cm. Find the number of cubes thus formed.

A gilli, in the gilli-donda game is a combination of two geometric shapes. Name the two shapes.

A shuttle cock has the shape of a frustum of a cone mounted on a hemisphere. The external diameter of the frustum are 5 cm and 2 cm, the height of the entire shuttle cock is 7 cm, then find its external surface area.

A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.

The internal and external diameters of a hollow hemispherical vessel are 24cm and 25cm respectively.The cost to paint 1cm² of the surface is Rs.0.05.Find the total cost to painting the vessel all over.

A spherical glass vessel has a cylindrical neck 8cm long, 2cm in diameter, the diameter of the spherical part is 8.5cm.By measuring the amount of water it holds, a child finds its volume to be 345cm³.Check whether she is correct, taking the above as the inside measurements, and \(\pi=3.14\)

The radius and slant height of a right circular cone are in the ratio of 7 : 13 and its curved surface area is 286 cm² . Find the radius of the cone.[Use \(\pi =22/7\)]

A solid cuboidal slab of iron of dimensions 66 cm X 20 cm X 27 cm is used to cast an iron pipe. If the outer diameter of the pipe is 10 cm and thickness is 1 cm, then calculate the length of the pipe.

An iron pipe 20cm long has exterior diameter equal to 25cm.If the thickness of the pipe is 1cm, find the whole surface area of the pipe.

The size of the base of a cane full of kerosene is 20 cm x 20 cm and its height is 45 cm. The kerosene of this cane is poured into another cane having base of size 25 cm x 15 cm and height 50 cm. Determine the height of the kerosene in the second cane.

A metallic cylinder has radius 3 cm and height 5 cm. To reduce its weight, a conical hole is drilled in the cylinder. The conical hole has a radius of \(\frac{3}{2}\)cm and its depth is \(\frac{8}{9}\)cm . Calculate the ratio of the volume of metal left in the cylinder to the volume of metal taken out in conical shape.

A container is in the form of the frustum of a cone. If the height is 16 cm and the radii of its lower and upper ends are 8 cm and 20 cm respectively. Find the slant height of the container and also the cost of milk that the container can hold, if the cost of milk is Rs. 30 / litre. \(\left[ \pi =3.14 \right] \)

A solid is in the form of a right circular cone mounted on a hemisphere. The radius of the hemisphere is 3.5 cm and the height of the cone is 4 cm. The solid is place in a cylindrical tub, full of after, in such a way that the whole solid is submerged in water. If the radius of the cylinder is 5 cm and its height is 10.5 cm, find the volume of water left in the cylindrical tub.

The dimensions of a room are 8m x 6m xh.It has two doors each of size 2m x 1m and one almirah of size 3m x 2m.The cost of covering the walls by wallpaper which is 40cm wide at Rs.1.25 per m is Rs.362.50.Find height.

Water is flowing at the rate of 15 km/hour through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in the pond rise by 21 cm?

An iron sphere of radius a units is immersed completely in water contained in a right circular cone of semi-vertical angle 30^o , water is drained off from the cone till its surface touches the sphere. Find the volume of water remaining in the cone.