- Area (total surface and curved surface) and Volume
- Direct application problems including cost, Inner and Outer volume and melting and recasting method to find the volume or surface area of a new solid
- Frustum is not included.
- Areas of sectors of circles other than quartercircle and semicircle are not included
A solid is in the form of a cone standing one hemi-sphere with both their radii being equal to 8 cm and the height of cone is equal to its radius. Find, in terms of π, the volume of the solid.
Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted and re casted into a single solid sphere. Taking π = 3.1, find the surface area of solid sphere formed.
What is the least number of solid metallic spheres, each of 6 cm diameter, that should be melted and recast to form a solid metal cone whose height is 45 cm and diameter 12 cm?
A solid rectangular block of metal 49 cm by 44 cm by 18 cm is melted and formed into a solid sphere. Calculate the radius of the sphere.
A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.
Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.
The surface area of a solid sphere is increased by 12% without changing its shape. Find the
percentage increase in its:
(i) radius (ii) volume