A solid metallic cube of side 4.4 cm is melted and recast in the form of a wire of radius 2 mm. Find the length (in cm) of the wire (Use = π = 22/7)

A solid metallic right circular cylinder has a diameter of 32 cm and a height of 9 cm. It is melted and recast into a solid sphere. What is the radius (in cm) of the sphere?

To have a surface area of 9π square units of a ball, what should be the radius (in units) of the ball?

The surface areas of the two spheres are in the ratio of 64: 81. Find the ratio of their volumes, in the order given.

A conical tent has a radius of 7 m and a vertical height of 24 m. How many full bags of rice can be emptied if the space occupied by the rice in each bag is 2 m³?

If the radius and the height of a circular cylinder are 10 cm and 15 cm, respectively, and the radius of a sphere is 5 cm, then what is the ratio of the curved surface area of the cylinder to that of the sphere?

The volume of a cone of radius 13 cm is 507π cm³. Find its height.

The volume of a sphere of radius 4.2 cm is: Use π = 22/7

The radius of the base and the height of a closed cylinder are 14 cm and 14 cm, respectively. The total surface area of the cylinder is equal to the area of a circle. What will be the diameter of the circle? [Use π = 22/7 ]

The radius of a sphere is 9 cm. It is melted and drawn into a wire of radius 0.3 cm. The length of the wire is:

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.

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.

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 _______.

If the slant height and radius of a right circular cone are 28 cm and 21 cm, respectively, then the total surface area of the right circular cone (in cm²) is: (Take π = 22/7)

What is the volume of the largest sphere that can be carved out of a wooden cube of sides 21 cm? (π = \(\frac{22}{7}\))

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?

A hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is 154 cm, then find the cost of painting it if the cost of painting is 4 per ₹100 cm² (use \(\pi=\frac{22}{7}\)).

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 curved surface area of a right circular cylinder is 90.2 m², and its radius is 70 cm, find its height ( in m ).  (π = \(\frac{22}{7}\))

A solid sphere of radius 8 cm is melted and then recast into small spherical balls each of diameter 4 cm. Find the number of balls thus obtained (use \(π={22\over7}\)).

The ratio of the heights of a right circular cone and a right circular cylinder is 8 : 9 and the ratio of the radii of their bases is 3 : 4. If the volume of the cylinder is 132 cm³, then the volume (in cm³) of the cone is:

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 \(\pi =\frac{22}{7} \)):

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

A solid cone with curved surface area twice its base area has slant height of 6√3 cm. Its height is :

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 curved surface area of a cone whose radius is 13 cm and slant height is 21 cm. (use π = \(22\over7\))

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?

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 medicine-capsule is in the form of a cylinder with hemispherical ends. The total length of the capsule is 3 cm and the diameter of the cross-section of the cylinder is 1.4 cm. Find the approximate capacity (in cm³) of the capsule. [use π = \(22\over7\)]

A conical tent has to accommodate 30 persons. Each person must have 5 m² space on the ground and 120 m³ of air to breathe. Find the height (in m) of the tent.

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.

The curved surface area of a cylinder is 440 cm². The base circumference is 44 cm. What is its volume?

What is the radius of a normal cylinder whose height is 21 cm and curved surface area is 1386 cm²?
 

The ratio of the radius of the base and the height of a right circular cylinder is 3 : 2, and its volume is 19404 cm³. What is the curved surface area (in cm²) of the cylinder? (Take \(\pi = \frac{22}{7}\))

If the diameter of a hemisphere is 63 cm, then what is the volume of the hemisphere? (π = 22/7)

The heights of two right circular cones are in the ratio 1 : 5 and the perimeter of their bases are in the ratio 5 : 3. Find the ratio of their volumes.

The total surface area of a cone whose radius is 3 cm and height is 4 cm is:

The curved surface area of a solid cylinder of height 15 cm is 660 cm². What is the volume (in cm³) of the cylinder? (Take ^\(\pi\) = \(\frac{22}{7}\))

The diameter of a hemispherical bowl is 21 cm. The volume of the bowl is equal to: (use π = \(\frac{22}{7}\))

What is the number of balls of diameter 4 cm that fall from a solid metal sphere of diameter 32 cm?

The heights of two cones are in the ratio 7 : 5 and their diameters are in the ratio 10:21. What is the ratio of their volumes? (Where \(\pi=\frac{22}{7}\))

If the slant height of a cone is 29 cm and its height is 20 cm, find the ratio between the magnitudes of the total surface area and the volume.

A sphere and another solid hemisphere have the same surface area. The ratio of their volumes is:

A cylinder has some water in it at a height of 16 cm. If a sphere of radius 9 cm is put into it, then find the rise in the height of the water if the radius of the cylinder is 12 cm.

 The total surface area of a solid hemisphere is 4158 cm². Find its volume (in cm³).

The height and the radius of the base of a right circular cone are in the ratio of 12 : 5. If its volume is 314 cm³, then what is the slant height of the cone? (Use π = 3.14)

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

A toy is made such that a solid right-angled cone is placed on top of a solid hemisphere of unit radius. Find the volume (in cubic units) of the toy if the total height of the toy is three times the radius of the hemisphere.

The curved surface area (CSA) and the total surface area (TSA) of a hemisphere whose radius is 7 cm are: