A maximum-size sphere is cut from a hemisphere of radius r. Find the ratio of the volume of the sphere to the hemisphere. Radius of Hemisphere =
A cone is cut parallel to its base in 3 parts in such a way that the height of each part is same. Find the ratio of volume of these parts?
Find volume of a cone of radius 7 cm and height 24 cm. (Use π = 22/7)
- A wire is bent to form a square which covers an area of 36 cm². Later, it is reshaped into a circle. What is the area enclosed by the circle? (Use π = 3)
- 24 cubes having sides equal to a cm each, and 24 more cubes having sides equal to 2a cm each are melted to form a single cube such that diagonal of the new...
Find the length of the diagonal of a cube with volume 81√3 cm³?
The Volumes of the two spheres are in the ratio 64:125. Their surface area will be in the ratio.
If the radius of the base and the height of a right circular cone are increased by 10%, what is the approximate percentage increase in volume?
The length of a plot is six times its breadth. A playground measuring 192 square metres occupies half of the total area of the plot. What is the length ...
- A rectangular swimming pool has a base area of 1200 m², and the volume of water in the pool is 48000 m³. Calculate the depth of the water in the pool.
