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

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 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)

What is the difference between the total surface area and the curved surface area of a hemisphere (in cm²) when the radius is 21 cm? (Take π = \(22\over7\))

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.

How many spherical solid marbles, each having a radius of 0.3 cm, can be made from a solid sphere having a radius of 6 cm?

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 metallic sphere of volume 3136π cm³ is melted and then recast into smaller cones each of radius 3.5 cm and height 4 cm. How many cones are obtained ?

The curved surface area of a right circular cylinder of height 14 cm is 176 cm². What is the area (in cm²) of the base of the cylinder? (Take \(\pi=\frac{22}{7}\))

The volume of a right circular cylindrical box of radius 30 cm is 600 cm³ . Find the height of the box.

The curved surface area of a solid circular cylinder of height 12 cm is 2640 cm². What is the volume (in cm³) of the cylinder? (Take π = 22/7)

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

A copper wire of radius 6cm and height 8cm is melted to form spheres of radius 2cm. How many such spheres can be formed?

A tent is cylindrical up to a height of 6 m and conical above it. The diameter of the base is 90 m and the height of the conical part is 28 m. What is the area (in m²) of canvas used in making it?

What is the volume of a cone whose height is 24 cm and whose radius is 14 cm?

A well of radius 2 m is dug 16.8 m deep. The soil taken out of it is spread evenly all around the well to form a 48 cm high embankment. What is the width (in m) of the embankment?

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  = \(\frac{22}{7}\))

If the diameter of a hemisphere is 8 cm, then the volume of the hemisphere (in cm³) is:

A hemisphere of lead of radius 4 cm is cast into a right circular cone of height 72 cm. What is the radius of the base of the cone?

What is the total surface area of the cone whose height and radius are 8.4 cm and 3.5 cm respectively?

3 solid spheres of diameters 6 cm, 8 cm and 10 cm are melted together to form a single solid sphere. Find its radius.

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

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

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

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 .

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 radii of the base of two cylinders P and Q are in the ratio 3 : 2 and their height in the ratio a : 1, if the volume of cylinder P is 3 times that of cylinder Q, the value of a is?

The circumference of the base of a right-angled cylinder is 22 cm and its height is 9.6 cm. Find the curved surface area of the cylinder.

What is the total surface area of the cone whose height and radius are 8.4 cm and 3.5 cm respectively?

A semi-circular sheet of radius 7√3 cm is bent into an open conical shape. Find the volume of the conical shape.

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?

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:

How many small cubes of edge length 2.2 cm can be made by melting a cone of radius 7.7 cm and height 12 cm?

A solid cylinder drum, 80 meters high, having a radius of 10 m needs to be painted. If the rate of painting the drum is Rs 3.5 per square meter. Find the total cost of painting the cylindrical drum.

A semicircular sheet of radius 8 cm is bent along the radius to form a conical sheet. Find the curved surface area of the new sheet.

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 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 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)

A solid hemisphere is melted into a right angular cylinder. Find the height of the cylinder if the radius R of the cylinder is equal to the radius of the solid hemisphere.

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 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 = 3.14)

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?

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

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

If the volume of the circular cylinder is 2310 cm³ with a radius of 7 cm, then find the curved surface area of the circular cylinder.

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 difference between height and radius of the cylinder is 6 cm. The ratio of the radius and height of the cylinder is 4 : 5. Calculate the total surface area of the cylinder.

What is the lateral surface area of a hemispherical bowl with an outer radius of 10.5 cm and a thickness of 2.1 cm? (in cm²) (Take π = 22/7)