Find the surface area of the sphere whose radius is 22cm and π = 3.14 (In cm²)

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

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

Find the total surface area of the hemisphere whose radius is 27 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 .

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 largest possible sphere is carved from a cube of side 14 cm. What is its volume in cm³?

If the diameter and the height of a cylinder are 12 cm and 10.5 cm, respectively, then using π = \(22\over7\), find the volume of the cylinder.

What will be the length of the radius of a hemisphere whose surface area is 1232 cm²?

The volume of a cylindrical vessel of uniform thickness is 1166 cm³ Its radius is 10 cm then what is the height of the vessel?

A cylindrical vessel of radius 30 cm and height 42 cm is full of water. Its contents are emptied into a rectangular tub of length 75 cm and breadth 44 cm. The height (in cm) to which the water rises in the tub is: 

A cylindrical vessel of radius 30 cm and height 42 cm is full of water. Its contents are emptied into a rectangular tub of length 75 cm and breadth 44 cm. The height (in cm) to which the water rises in the tub is: 

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

A solid right-circular cylinder whose radius of the base is 22.5 cm and whose height is 24 cm is melted and moulded in the shape of a right-circular cone whose radius of the base is 36 cm. What will be the height of this cone?

The ratio of the diameters of two spheres is given as 1 : 4. The larger sphere is melted and 125 identical spheres are made out of the molten material. The smaller sphere is melted and 27 identical spheres are made out of the molten material. If the ratio of the volume of each of the 125 identical spheres to the volume of each of the 27 identical spheres is given as 1 : m, what is the value of m?

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

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?

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 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.

A solid sphere of radius 3 cm is melted to form a hollow cylindrical tube of length 4 cm and external radius 5 cm. The thickness of the tube is?

A right circular cone of largest volume is cut from a solid wooden hemisphere. The remaining part is what percent of the volume of the original hemisphere?

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 will be the length of the radius of a hemisphere whose surface area is 1232 cm²?

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

Find the curved surface area of a cone whose radius is 13 cm and slant height is 21 cm. (use π = 22/7 and CSA in cm²)

If the surface areas of two spheres are in the ratio of 49 : 81, then find the ratio of their volumes.

If the surface areas of two spheres are in the ratio of 9 : 49, then the ratio of their volumes is: (Where π=\( {{22} \over 7}\))

A cylinder has a radius of 7 cm and the area of its curved surface is 396 cm² . The volume of the cylinder is:

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.

A spherical container of radius 21 cm filled with water can fill 15 hemispherical cups of radius 7 cm. Find the water left in the container.

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

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

The volume of a solid right circular cylinder of height 16 cm is 441π cm³. Its curved surface area (in cm²) is:

A frustum of a cone has a base radius of 1.5cm and a height of 7cm. The radius of the top of the frustum is 0.5cm. Find the volume of the frustum.

A hemispherical bowl of internal radius of 12 cm contains a liquid. This liquid is to be filled into conical shaped small bottles of base diameter 3 cm and height 4 cm. How many same type of bottles will be needed to empty the bowl?

Find the curved surface area of the hemisphere (in cm²) whose radius is 60 cm and π = 3.14.

A carpenter wants to carve a sphere from a solid cylinder of wood. The cylinder has a radius of 21 cm and a height of 28 cm. What is the maximum radius of the sphere that can be carved from the cylinder?

Find the curved surface area of the sphere whose radius is 23 cm and π = 3.14 (In cm²).

Calculate the volume of a cylinder whose base area is 40 cm² and the height is 9 cm.

If the surface area of the sphere is 616 cm², then the radius of the sphere is equal to:

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.

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 surface area of the sphere whose radius is 22cm and π = 3.14 (In cm²)

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]

A carpenter wants to carve a sphere from a solid cylinder of wood. The cylinder has a radius of 21 cm and a height of 28 cm. What is the maximum radius of the sphere that can be carved from the cylinder?

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 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)

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.