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?

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 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 of the cylinder?

Three spheres of radius 3 cm, 4 cm, and 5 cm combine to form a bigger sphere. What is the radius of the big sphere?

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.

The diameter of a cylindrical tower is 32 meters and its height is 42 meters. The cost of painting the curved surface of the cylinder at 1.5 rupees per square meter is:

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

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.

Some medicine in liquid form is prepared in a hemispherical container of diameter 36 cm. When the container is full of medicine, the medicine is transferred to small cylindrical bottles of diameter 6 cm and height 6 cm. How many bottles are required to empty the container?

What is the difference between the total surface area and the curved surface area of a cylinder whose radius is 5 cm and height is 7 cm? (Take π = 3.14)

A radii of the bases of the two cylinders are in the ratio 5 : 7 and their height are in the ratio 3 : 5. Find the ratio of their curved surface areas.

If the total surface area of a cylinder is 704 cm² and the ratio of height to base radius of the cylinder is 3 : 4, then what will be the volume of that cylinder?

A cylinder is completely filled with water. A certain number of cylindrical bullets of diameter 1.4 cm and height 3 cm are gradually immersed into water in the cylinder. From the cylinder 5.544 litres of water oveflows which is collected in a vessel. How many bullets were immersed into the cylinder? (Take \(\pi=\frac{22}{7}\))

If the height and diameter of a cylinder are 12 cm and 28 cm, respectively, then find the ratio of the total surface area to the curved surface area.

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 glass cylinder with a diameter of 20 cm has water to a height of 9 cm. A metal cube of 8 cm edge is immersed in it completely. Calculate the height (correct to 1 decimal place) by which the water will rise in the cylinder (by taking π = 3.142).

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

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?

Find the volume of a toy of total height 108 cm made by joining a conical hat on a cylindrical bottle of radius 56 cm and the height of the cone is half of the height of the cylinder. (in cm³)

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 _______.

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?

If the height and slant height of a right circular cone are 8 cm and 10 cm, respectively, then the volume of the cone is (use π = \(\frac{22}{7}\)): (correct to two decimal places)

Find the volume of a hemisphere whose diameter is 6 cm. (Take π=22/7)

If the surface area of a sphere is 64π cm² then, the volume of the sphere is:

The surface area of a sphere is 2464 cm². Find its volume

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)

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 .

Find the total surface area of the hemisphere (in sq cm) whose radius is 57cm and π = 3.14.

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?

Find the amount of water contained in a cylindrical tank of radius 7 m and height 20 m. It is known that the tank is completely filled.

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

Find the Total surface area of the hemisphere whose radius is 28cm and π = 3.14(cm²).

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

The inner radius of an inner hemi-spherical vat is 21 cm. This vat is filled with the help of small cylindrical bottles. If the radius of the base of the bottle is 7/2 cm and the height by 12 cm, then how many bottles are required to fill it?

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 radii of the two circular faces of the frustum of a cone are 15cm and 6 cm. If the height of the frustum is 14 cm, what is the volume in cubic cm?

An angular 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]

If the total surface area of a cylinder is 704 cm² and the ratio of height to base radius of the cylinder is 3 : 4, then what will be the volume of that cylinder?

A sphere of radius 38 cm is melted and made into ‘N’ small spheres of radius 2 cm. Find the value of N. (assuming nothing has been wasted)

If the capacity of a cylindrical tank is 3696 m³ and the diameter of its base is 14 m then, find the depth of the tank.

A cubical box of side 11cm is melted and recast into some spherical ball whose radius is 0.5cm. Find the number of the spherical boxes which is recast.

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:

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.

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.

If the slant height of a cone is 60 cm and the radius of its base is 21 cm, then find its curved surface area. \(\left(\text{use} \ \pi = \frac{22}{7}\right)\)

What is the curved surface area of a cylinder of radius 17.5 cm and height 12 cm?

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?

Three solid metallic spheres of radii 1 cm, 6 cm and 8 cm, respectively, are melted and recast into a single solid sphere. The radius of the new sphere so formed is:

If the diameter of the base of a cone is 18 cm and its curved surface area is \(424{{2} \over 7}cm^2\) , then its height will be:

\((Take \pi={{22} \over 7}\))

The curved surface area of a right circular cone is 44 cm². If the slant height of the cone is 7 cm, then find the radius of its base. [Use π = 22/7 ].