The height of a cylinder is 3 cm more than the radius of its base. If the height is 10 cm, then what is the volume of this cylinder? [Use \(\pi=\frac{22}{7}\)]

If the volume of a sphere is 38808 cm³, then its surface area is:

The volume of a right circular cone having a base diameter of 14 cm is 196π cm³ .Find the perpendicular height of this cone

What will be the difference between the total surface area and the curved surface area of a hemisphere having 4 cm diameter?

If the radius of a hemispherical balloon increases from 4 cm to 7 cm as air is pumped into it, find the ratio of the surface area of the new balloon to its original.

The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2. The ratio of their volume is:

The cost of painting the total surface area of a 30 m high solid right circular cylinder at the rate of ₹25 per m² is ₹18,425. What is the volume (in m³) of this cylinder [π = \( {22{} \over 7}\)]?

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 .

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?

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]

The total surface area of a cone whose radius is 3 cm and height is 4 cm 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 curved surface area of a solid cylinder of height 15 cm is 660 cm². What is the volume (in cm³) of the cylinder? (Take ^\(\pi\) = \(\frac{22}{7}\))

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?

A hollow cylindrical tube made of plastic is 3 cm thick. If the external diameter is 20 cm and length of the tube is 49 cm, find the volume of the plastic.

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.

Two metallic balls P and Q are such that the diameter of P is four times the diameter of Q. What is the ratio between the volumes of P and Q?

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

The radius of a metallic spherical ball is 3 cm. If the metallic ball is melted and recast into x number of hemispheres of radius equal to half the radius of the metallic spherical ball, then find the value of x.

A solid sphere made of wax of radius 12 cm is melted and cast into solid hemispheres of radius 4 cm each. Find the number of such solid hemispheres.

A cylindrical metallic rod of diameter 2 cm and length 45 cm is melted and converted into wire of uniform thickness and length 5 m. The diameter of the wire is:

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

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

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

The diameter of a hemisphere is equal to the diagonal of a rectangle of length 4 cm and breadth 3 cm. Find the total surface area (in cm²) of the hemisphere.

Find the volume of the largest possible sphere circumscribed by a cube with an edge of 7 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 = \(\frac{22}{7}\))

if the height and slant height of a cone are 21 cm and 29 cm, respectively. Find its volume. \((π= \frac{22}{7})\)

If a right circular cone of height 24 cm has the circumference of its base 42π cm, then the volume of the cone is
(use π = \(\frac{22}{7}\))

Aman wants to get his spherical overhead water tank having a diameter of 7 m, painted. If the cost of painting is Rs 13 per square meter, find the cost of painting Aman's spherical overhead water tank. (Use π = 22/7)

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

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)

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

The radii of two cylinders are in the ratio 2 : 1 and their heights are in the ratio 5 : 2. The ratio of their volumes is:

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

The lateral area of a cylinder is 3168 cm² and its height is 48 cm. Find the volume.

A conical tent of height 10m and base diameter 48m was erected by a company in a park. Find the curved surface area of the tent (in m²).

The volume of a cone is 73920 cm³. If the height of the cone is 160cm, then find the diameter of its base.

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

Ranu carries water to school in a cylindrical flask with a diameter of 12 cm and a height of 21 cm. Determine the amount of water that she can carry in the flask. (Usе π =\(\frac{22}{7}\))

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

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

A cone and a cylinder with equal radii have equal volumes. The ratio of their heights is
:

How many liters of water can a hemispherical tank of radius 2.1 m contain? (Take \(\pi = \frac{22}{7}\)).

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 in it if the space occupied by the rice in each bag is 2 m³?

The slant height of a cone is 10 cm, and the radius is 6 cm. What is the total surface area of the cone? (Take π = 3.14)

A sphere of radius 21 cm is melted to create 40 hollow cylinders of thickness 2 cm, outer radius 8cm, and height 10 cm. Find the volume of the cuboid made by the leftover.

A plane passes through the centre of a sphere and forms a circle with a radius of 8cm. What is the surface area of the sphere?

A cylinder has a radius of 12 cm and a height of 25 cm. If a carpenter converted it into a conical toy with a similar radius and height by cutting the cylinder then, find the ratio of the volume of the cylinder and the conical toy.

Quantity I : A sphere of diameter 13.4 cm is melted and cast into a right circular cone of height 26.8 cm. The radius of the base of the cone is ?

Quantity II: 5.95 cm.