A solid sphere is cut into two equal halves. What is the ratio of the total surface area of each hemisphere to that of the solid sphere?

A hollow cylinder of height 20 cm has an exterior radius of 12 cm and the thickness of the material is 1 cm. Find the total surface area of the hollow cylinder.

What is the volume of the frustum of height 6.3 cm and the radii of the smaller and larger side being 3.5 cm and 4.5 cm respectively? (in cm³)

Ratio of the radius of cone to cylinder is 1 : 2 and the volume of the cylinder is 4928 cm³. If the height of the cylinder is 8 cm and the slant height of the cone is 24 cm, then find the volume of the cone.

The volume of the solid sphere is 38808 cm³. If it is cut into two equal parts, find the total surface area of each part.

An annular cylinder of internal radius 3 cm and thickness 1 cm is made up of a material of density 750 kg/m3. If the height of the cylinder is 7 cm, then what is the weight of the cylinder? (in grams) [Use π = 22/7]

A hollow sphere is cut in such a way that it makes two equal bowls of radius 3.5 cm. Find the volume of each bowl.

A sphere of radius 5 cm is immersed in a cylindrical vessel of base radius 10 cm. Find the increase in height of the liquid.

A right triangle with sides 6 cm, 8 cm and 10 cm is rotated the side of 6 cm to form a cone. The volume of the cone so formed is:

If 1000 small spherical balls can be made from a large sphere of radius 20 cm, find the radius of the small spherical ball.

A well of a radius of 2.1 m and a height of 30 m is dug. What is the volume of the earth dug out? (in m³)

A semicircular sheet of radius 8 cm is bent along the radius to form a conical sheet. Find the curved surface area of the new sheet.

Find the volume of cone with radius 10.5 cm and height 18m.

Find the total surface area of a hemisphere of radius 21 cm.

The Total surface area of a right circular cone is 4400/7 cm². If the radius is 9 less than its slant height, then what will be its height?

Find the radius of cylinder whose curved surface area is 627 cm². (Take height = 11 cm and π = 3)

A solid cylinder of radius 21 cm and height 10 cm is melted and formed into a rod of the square cross-section of side 3 cm. Find the length of the rod.

Find the volume of the sphere if its surface area is 1408 cm².

A cone is mounted on a cylinder of height 3m if the diameter of the cylinder is 105m and the slant height of the cone is 63 m then, find the curved surface area of the figure.

A hemispherical metal ball, having a diameter 14 cm, is melted and recast into smaller pieces of diameter 3.5 cm. Find the total number of pieces that can be made by assuming that no loss occured in the quantity during the process.

A copper wire of radius 6cm and height 8cm is melted to form spheres of radius 2cm. How many such spheres can be formed?

The height of a right circular cylinder is 16 cm more than its radius. If the curved surface area of the cylinder is 672π cm², then find the height of the cylinder.

If the diameter of the base and the height of a cylinder are 16cm and 20 cm, respectively, then what is the total surface area of the cylinder? (Use π = 22/7)

The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 4 : 3. The ratio of their volumes is:

How many small cubes of edge length 2.2 cm can be made by melting a cone of radius 7.7 cm and height 12 cm?

Find the volume of frustum if its 42 m high and radii are 7m and 14 m respectively.

A sphere container of radius 21 cm full of water fill 15 hemispherical cups of radius 7 cm. How much water is left in the container after that?

If the volume of the circular cylinder is 2310 cm³ with a radius of 7 cm, then find the curved surface area of the circular cylinder.

What is the lateral surface area of a hemispherical bowl with an outer radius of 10.5 cm and a thickness of 2.1 cm? (in cm²) (Take π = 22/7)

A right circular cylinder and a cone have equal base radius and equal heights. If their curved surfaces are in the ratio 6 : 7, then the radius of the base to the height are in the ratio:

What is the surface area of the sphere having a volume of 4186 cm³? (take π = 3.14)

The slant height of the cone is √1066 m and the radius of the base is 21 m. Find the volume of the cone.

The volume of the cylinder is 831.6 cm³, is melted and recast into a right angular cone of radius 7 cm. Find the height of the cone.

What is the volume of the cone with a radius of 18 cm and a slant height of 30 cm?

What will be the radius of the largest sphere that can be carved out of the cube whose face diagonal is 24√2 cm long?

Find the radius of the cylindrical can whose height is 10 cm and volume 3142.85 cm³. (π = 3.14285)

A flower vase is in the form of a frustum of a cone. The perimeter of the ends are 88 cm and 16.8π cm. If the depth is 21 cm, find how much julep it can hold. (in cm³)

The radius and the height of the cylinder are 7 cm and 12 cm respectively. The cylinder is smelted to make n number of small cones of radius 3.5 cm and height 2 cm. What is the value of n?

The radius and height of a cylinder are in the ratio 6 : 7 and its volume is 792 cm³ . Calculate its curved surface area in cm² .

The volume of a solid right circular cylinder of height 14 cm is 478π cm³. Its curved surface area (in cm²) is:

The surface areas of the two spheres are in the ratio 25 : 36. What is the ratio of their volumes?

The outer surface of a sphere having a diameter 10 m is painted at the rate of Rs. \(\frac{80}{\pi}\) per m² . What is the cost of painting?

The respective ratio between numerical values of the curved surface area and the volume of a right circular cylinder is 2 : 3. If the respective ratio between the radius and the height of the cylinder is 3 : 7, what is the total surface area of the cylinder?

If the curved surface area of the cylinder is 1100 cm² having a height of 5 cm then, find the ratio of height and radius of the cylinder.

 Find the diameter of a spherical ball whose volume is 38.808 m³. \(( \pi = \frac{22}{7})\)

  The curved surface area of a cone is 2200 cm² and its radius is 28 cm, what is the slant height (in cm) of the cone?

 \(\big(Use\pi=\frac{22}{7}\big)\)

A spherical ball of lead, 3 cm in diameter, is melted and recast into three spherical balls. The diameters of two of these balls are \(\frac{3}{2}\)cm and 2 cm, respectively. Find the diameter of the third ball.

Find the total surface area of a cylinder whose radius is 15 cm and height is 12 cm. (Use π = 22/7)

Find the curved surface area of a toy whose shape is hemisphere mounted on one side of the cylinder if the radius is 14 cm and the total height of the toy is 42 cm.

The radius and height of a cylinder are in the ratio 6 : 7 and its volume is 792 cm³ . Calculate its curved surface area in cm² .