A cone is mounted on one face and a hemisphere is mounted on the other face of a cylinder. All three shapes have the same radius. The height of the cone is the same as its radius and the height of the cylinder is thrice its radius. If the radius of the cylinder is 3.5 cm, what is the volume (in cm³) of the shape?

The radius and height of the conical cap are 7 cm and 24 cm respectively. What is the cost of covering the total surface of the cone with colored paper at the cost of 10 paise per square cm?

The total surface area of a hemisphere is equal to the total surface area of a sphere. What is the ratio of the volume of the sphere to that of the hemisphere?

If in the remaining part of the cube where water is filled, 2 spheres of radius of 5.25 cm each are placed, how much water is displaced out of the cube? (in cm³)

A cylindrical cistern of radius 63 cm is partly filled with water. If a rectangular block measuring 54 cm × 21 cm × 22 cm is wholly immersed in the water, by how much will the water level rise?

The cost of a solid cylinder of radius 14 m and height 3.5 m, when, the cost of its metal is Rs.50 per cubic meter, is:

The area of a semicircle is equal to the surface area of a sphere. If the radius of semi-circle is 10 cm, what is the radius of the sphere? (Approx)

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 Solid cone is placed on top of a cylinder. If the radius of the Solid cylinder and cone is 5 cm and the height is 18 cm and the height of the entire solid is 30 cm. Then find the total surface area of the solid.

The height of a cylinder is 5 cm more than its radius and the radius of a sphere is 7 cm. The total surface area of the sphere is 220 cm² less than that of the cylinder. What is the height of the cylinder? (in cm)

If the curved surface area of a hemisphere of radius 16 cm is equal to the total surface area of the sphere then, find the diameter of the sphere.

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?

The total surface area of a cone whose base radius is 21 cm is 3300 cm2. What is the difference between slant height and the height of the cone?

A sphere of radius 3 cm is melted and made into a hemisphere of R cm. Find the value of R.

A child cuts a circular ball in two halves. The radius of the ball is 14 cm. Find the total surface area of a part of the ball.

The radius of a hemisphere is 14 cm. Find the total surface are of the given hemisphere. (Take π = 22/7)

The radius of the cylinder is 7 cm and the curved surface area of the cylinder is equal to the total surface area of the cube, and the side of the cube is 14 cm. Find the height of the cylinder. (approx.)

Find the surface area of a hemisphere whose radius is 3.07 cm.(Use π = 3.14)

If the curved surface area of a cylinder is 616 cm² and the diameter of it's base is 14 cm, find it's height.

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.

The diameter of a solid cylinder is 5 cm and its height is 14 cm.

Quantity I: Total surface area of the cylinder.

Quantity II: 220 cm².

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.

Find the total surface area of a hollow hemisphere whose outer and inner radii are 5.6 cm and 1.4 cm respectively.

The volume of a cylinder is numerically equal to the surface area of a sphere. If the height of the cylinder is 16 cm then find the ratio of the plain surface area of the cylinder and the surface area of the sphere.

Quantity I: A cylindrical slab of same diameter as that of a cylindrical container is immersed in fully filled container and 2/15 of total water spills out. The volume of cylindrical slab is 1418 cm³. Find the volume of water in cylindrical container (in cu.cm).

Quantity II: A 14 m wide circular path is made around a park whose radius is 119 m. Find the area of the circular path.

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.

The height of a cone is 14 cm. If the volume of the cone is 2,112 cm³, then find the ratio of the height of the cone to the radius of the cone. {Take π = (22/7)}

Manoj has a water distribution service that has two different types of containers i.e. sphere and cylinder. The cost of painting on all sides of both the containers is equal. If the radius & height of the cylinder is 1 m then find the ratio of the volume of sphere and cylinder.

The volume of a cylinder and a cone, of the same radius 'r', are equal. The height of the cylinder is given as 'H' and the height of the cone is h What will be the ratio of slant height of the cone to the height of the cylinder?

A solid cone of radius 13 cm & height 16 cm is recast into n hemispherical bowls of outer diameter 16 cm & inner diameter 14 cm. Find n.

Water is filled in a hemispherical bowl up to 60% of its capacity. Find the volume of water in the bowl if the surface area of the bowl is 308 cm².

Quantity I: If the radius and height of the cylinder are respectively 14 cm and 8 cm, then find the volume of the cylinder.

Quantity II: If the radius of the sphere is 2 m, then find the volume of the sphere.

Quantity I: If the radius and height of the cylinder is respectively 14 cm and 18 cm then find its Volume.

Quantity II : If the radius and height of the cone is respectively 21 cm and 9 cm then find its Volume.

Quantity I: In a birthday party, two girls are wearing conical birthday caps. The ratio between the radius of the two caps is 3 : 2. If the height and volume of the second cap is 14 cm and 528 cm³ then find the radius of the first cap.

Quantity II: Height of a cylindrical tub is equal to the length of the rectangle who area is 48 cm² and breadth of the rectangle is 8 cm. The volume of the cylindrical tub is 2079 cm³. Find the radius of the cylindrical tub.

Find the volume of one sphere formed by melting 3 spheres.

A.) The ratio of radius 3 : 4 : 5

B.) Height of the smallest sphere is 24 cm.

Quantity I: If the volume of a Sphere is 38808 cm³ then find the surface area of the Sphere.

Quantity II: If the radius of a Hemisphere is 63 cm then find its curved surface area.

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 (approx.) of the cylinder?

The radii of two circular faces of a hollow frustum is 14 cm and 21 cm respectively. If the height of the frustum is 24 cm, what is cost of painting the outer surface of the frustum at a rate of Rs. 2.5 per cm²? [Take π = 22/7]

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:

A solid right circular cylinder of radius 7 cm and height ‘h’ cm is melted down to form a cuboid, whose length is 44 cm, breadth is (h - 6) cm and height is 5 cm. What was the volume of the cylinder?

A cylindrical vessel with a radius of 9 cm and height of 6 cm is to be made by melting a number of spherical metal balls of a diameter of 3 cm. The minimum number of balls made are:

A pipe of radius 5.6 cm and mean length 44 cm is joined end to end to form a circle. 8 such pipes are joined in a similar manner to form 8 rings and each ring is placed on top of another with a common central axis. A cylindrical cardboard box is used to cover them. Find the volume enclosed by the box.

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.

The total surface area of a solid hemisphere is 0.4158 m². Find the volume of the solid hemisphere.

A right circular solid cylinder has a radius of base of 11 cm and a height is 28 cm. It is melted to form a cuboid such that the ratio of its side is 4 : 6 : 9. What is the total surface area (in cm²) of the cuboid?

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?

Find the volume of frustum if its 42 m high and radii are 7m and 14 m respectively.

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?

A right circular cylinder and a cone have equal base radius and equal heights. If their curved surfaces are in the ratio 5 : 7, then the radius of the base to the height are in the ratio: