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

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:

A right circular solid cylinder has a radius of base of 11 cm and a height is 28 cm. It is melted to form a cuboid such that the ratio of its side is 4 : 6 : 9. What is the total surface area (in cm²) of the cuboid?

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

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

A hollow cylinder is cut into half, such that similar cylinders are formed. One of them is removed and on other a cone of base area and height equal to the cylinder removed is mounted. Find the ratio of volume of original cylinder and the new cylinder + cone structure formed.

If the ratio of the radius of the cone to the cylinder is 7 : 3 and the volume of the cylinder is 2376 cm³ and the radius of the cone is equal to the radius of the circle whose circumference is 88 cm. What is the height of the cylinder?

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.

The ratio of the radius of a cylinder and a sphere is 7 : 9 and the height of the cylinder is 8 cm. If the curved surface area of the cylinder is 1408 cm², then what is the difference between the volume of the cylinder and the total surface area of the sphere?

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 diameter of a sphere is 0.7 cm. From a water tank, 6000 such spheres completely filled with water are thrown out. The volume of the water thrown out is:

There are two toys, one of cylindrical shape of base radius 8 cm and volume 4608 cm³. Another toy of conical shape having height 25% less than the height of first toy and volume of the conical toy is 2592 cm³. Find the relation between radii of both the toys. [Take π = 3]

The volume and height of a right-angled cone are 8800 cm³ and 21 cm respectively. If the radius of a sphere is 9 less than the slant height of the cone, then find the volume of the sphere.

A hemisphere is mounted on a cylinder and the radius of both is the same i.e., 7 cm. Find the height of the cylinder if the total volume of the hemisphere and cylinder is \(3952 \frac{2}{3} cm ^3\).

The curved surface area of the cone and the radius of the cone are 180 cm² and 6 cm, respectively. Find the volume of the cone. (Take π = 3)

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:

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 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?

What is the radius of a sphere having a volume of 4851cm³? (Use π = 22/7)

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 .

Find the volume of a cone having base radius 3.5 cm and height 18 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 = 22/7)

A sphere of diameter 18 cm has been melted to make a cylinder of radius 3 cm and height 2 cm. The total number of cylinders made out will be:

A solid sphere has a surface area of 616 cm². This sphere is now cut into two hemispheres. What is the total surface area of one of the hemispheres?

What is the volume of a cone whose base diameter is 12 cm and the height is 21.7 cm?

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?

The volume of a right circular cylinder, if the radius of its base and the height are 7cm and 15cm, respectively, will be _______.

The radius of the right circular cylinder is thrice of its height. If the height of the cylinder is 2.1 cm, then what is the volume (approx.) of the 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 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 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. \(\Big(Use \pi = \frac{22}{7}\Big)\)

If the radius and height of a right circular cylinder are 21 cm and 5 cm, respectively, then the total surface area of cylinder is (use \(\pi =\frac{22}{7} \)):

What is the total surface area of a cone whose curved surface area is 550 cm² and radius is 7 cm? (Take \(\pi = {22\over7}\))

A sphere with an inner radius of 7 cm is fully filled with a chemical costing Rs.24 per cm³. What will be the cost of the chemical (in Rs.), if 50% is taken from the sphere?

The surface area of a solid metallic sphere is 616 cm². It is melted and recast into a solid cone of height 28 cm. Find the diameter of the base of the cone so formed. (Take π = 22/7)

The capacity of a cylindrical tank is 38,500 litres. If the height is 4 metres, then what is the diameter of the base?

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?

How many solid spheres are made if a metallic cone of radius 12 cm and height 24 cm is melted into a sphere of radius 2 cm each?

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

The radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm. If this is melted and recast into a solid right circular cylinder of height \(10\frac{2}{3}\) cm, then the diameter of the base of the cylinder is _______.

The volume of a right circular cone is 1078 cm³. Find the total surface area of the cone if its height is 21 cm. (Use π = 22/7)

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

The circumference of the base of a right circular cone is 88 cm. If the height of the cone is 28 cm, then what is the curved surface area of the cone?

Find the surface area of a sphere whose radius is 3.5 cm (Use π = 22/7)

The height of a cylinder is 20 cm. The lateral surface area is 1760 cm². Its volume is:

Find the surface area of the sphere (in cm²) whose radius is 133 cm and π = 22/7.

A solid rectangular block of metal of dimensions 88 cm × 21 cm × 21 cm is melted to form a solid sphere. What is its radius (in cm)?
(Take π  = \(\frac{22}{7}\))

What is the volume of a cylinder if the radius of the cylinder is 10 cm and the height is 20 cm? (Take π = 3.14)

Find the total surface area of the hemisphere (in cm²) whose radius is 26 cm and π = 3.14.