The curved surface area of a right circular cone is 2684π cm², and the diameter of its base is 44 cm. Find the height (in cm) of the cone.

Find the approximate volume and surface area of a sphere of radius 6 cm. (Use π = 227)

Ram has two spherical balls of radius 10.5 cm each and Meena has six spherical balls of radius 7 cm each. What is the total volume of the balls that Meena has?

A cylindrical water tank has a radius of 2.8 m and a height of 3.5 m. If an average person needs 70 liters of water per day, for how many people will the water in the fully filled tank suffice for one day? (Take π = 227)

Two cubes each of volume 125 cm3 are joined end to end to form a cuboid. What is the volume of the cuboid?

It is desired to have an area of a rectangular court equal to 360 square units. If the length of the rectangular court is 26 units more than its breadth, then the ratio of the length to its breadth is:

The side of a square is increased by 3 units. If the area becomes 169 as a result, what was the original length of the side?

If each edge of a cube is 41 m, find the volume of that cube (in m3).

A sphere of radius 50 cm is recast into 1000 identical smaller spheres such that the total volume of all smaller spheres equals the volume of the large sphere. Find the diameter (in cm) of each smaller sphere.