A cylindrical pillar has a curved surface area of 264 m²  and a volume of 924 m³. What is the ratio of the diameter and height?

The diameter of the base of a conical tent is 28 feet, and the slant height of the cone is 18 feet. Find the area (in ft²) of the 3 canvases that are required for making this tent. Ignore the wastage of canvas. \(\Big(Use \pi = \frac{22}{7}\Big)\)

A solid metallic sphere of radius 6 cm is melted and recast into spherical balls of radius 3 cm. The number of spherical balls thus obtained is:

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 heap of sand is in the shape of a right circular cone. It has a slant height of 10 feet and a base diameter of 16 feet. Find the volume of sand making up the heap. (Take π = 3.14)

What is the height of a solid cylinder whose radius is 7 cm and total surface area is 1144 cm²? (Use π =22/7)

A hemispherical bowl of internal radius 6 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 2 cm and height 4 cm. How many bottles will be needed to empty the bowl?

The radius of a sphere is 4.9 cm. What is the volume of the sphere (approximately)?

Calculate the cost to paint a water tank in the shape of a sphere having a radius of 7 cm, if the cost of painting is Rs. 4.5/cm². ( π = 22/7 )

A hollow sphere of external and internal diameters of 10 cm and 6 cm respectively, is melted and made into another solid in the shape of a right circular cone of base diameter 10 cm. Find the height of the cone.

The volume of a cone with a height equal to the radius, and a slant height of 5 cm is:

Find the surface area of the sphere whose radius is 112 cm and π = \(\frac{22}{7}\).

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?

A hemispherical bowl made of iron has an inner diameter of 84 cm. Find the cost of tin plating it on the inside at the rate of 21rs per 100 cm² (take π = 22/7) correct to two places of decimal.

The total surface area of a solid hemisphere is 0.4158 m². Find the volume of the solid hemisphere.

Find the curved surface area of the hemisphere (in cm²) whose radius is 75 cm and π = 3.14.

A metallic sphere of radius 21 cm is melted and then recast into smaller cones each with a radius of 7 cm, and a height of 3 cm. Find the number of cones obtained.

Find the surface area of a sphere of radius 3.5 cm.

The external diameter of an iron pipe is 20 cm and its length is 12 cm. If the thickness of the pipe is 1 cm, find the surface area of the pipe (take π = 22/7) correct to two places of decimal.

Find the volume of a solid hemisphere whose radius is 6.3 cm.(Use π = 22/7)

The diameter of the base of a cylindrical tank is 28 cm, and its height is 42 cm. Find its curved surface area.

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?

Find the volume of a sphere diameter of 21 cm  \((\pi= {{22} \over 7})\)

If a right circular cone of height 24 cm has a volume of 392 π cm³, then the curved surface area is:

The volume of a right circular cone is 1848 cm³. If the area of its base is 154 cm² , what is the vertical height of the cone?  [Use π = 22/7]

Two cylinders have their heights in the ratio 1 : 2 and their radii in the ratio 2 : 1. What is the ratio of their volumes?

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 25 cm, then find the volume of the cone.

A cuboidal water tank is 12 m long, 9 m wide and 7.5 m deep. How many litres of water can it hold?

If the radius of a cylinder is tripled and the height is halved, then what is the ratio between the new volume and the previous volume?

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.

The total surface area of a cylinder of diameter 10 cm is 330 square centimeters. Find the height of the cylinder.

A conical-shaped vessel has a radius of 21 cm and a slant height of 25 cm. If the curved part of the vessel is to be painted white, find the cost (in ₹) of painting at the rate of ₹1.5 per cm² .

The ratio of the curved surface area to the total surface area of the cylinder is 11 : 18. Also, the area of its circular end is 616 cm². Find the volume of the cylinder.

The diameter of the base of a right circular cone is 20 cm and its slant height is 10.5 cm. What is the curved surface area (in cm²) of the right circular cone? [Use π = \(22\over7\)]

The ratio of the lateral surface area to the total surface area of a cylinder with base diameter 60 cm and height 10 cm is:

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.

The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 3.5 cm., then what is the volume of the cylinder?

A well with 14 cm radius is dug 23 cm deep. Find the volume of the earth taken out of it.

The area of the base of a conical tomb is 616 m² and its height is 48 m. What is the cost of plastering its curved surface area at ₹150 per m²? (Take π = \(\frac {22}{7}\))

A cylindrical candle, 14 cm in diameter and length 2 cm is melted to form a cuboid candle of dimensions 7 cm x 11 cm x 2 cm. How many cuboidal candles can be obtained?

Find the volume of the cylinder whose radius is 38.5 cm and height is 18 cm. (Use π = 22/7 and in cm³)

A cylindrical oil tank has a radius of 5 m and a total surface area of 628 m². What would be its curved surface area? (round off to the second decimal place)

If three spheres of radius 75 cm, 60 cm and 45 cm are melted into one big sphere, then the radius of the big sphere is:

The circumference of the base of the cylindrical vessel is 154 cm and its height is 49 mm. How many litres of water can it hold? (correct to three places of decimals, use \(\pi = \frac{22}{7}\))

Taking π = 3.14, find the volume of a cylinder having a radius of base as 5 cm and its height as 24 cm.

A shopkeeper usually makes one big besan laddoo (spherical in shape) with a radius of 9 cm. With the same laddoo, how many besan laddoos of radius 3 cm can be made? (Use a = \(\frac{22}{7}\))

The base radius of a circular cylinder is 10.5 cm. If the area of its curved surface is 792 cm² , then what is the volume of the cylinder?

What will be the total cost (in Rs) of polishing the curved surface of a wooden cylinder at the rate of Rs 50 per m², if its diameter is 70 cm and height is 6m?

A cylinder with a radius of 7 cm has a curved surface area of 2200 cm². Find its total surface area. (use π = 22/7)

If the surface area of a sphere is 5544 cm², what is its volume?