Advertisements
Advertisements
प्रश्न
Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r cm.
Advertisements
उत्तर
For the volume of cone to be largest, h = r cm
Volume of the cone
= `1/3pir^2h`
= `1/3pi xx r^2 xx r`
= `1/3pir^3`
संबंधित प्रश्न
A right circular cylinder just encloses a sphere of radius r (see figure). Find
- surface area of the sphere,
- curved surface area of the cylinder,
- ratio of the areas obtained in (i) and (ii).

A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones.
Find the surface area of a sphere of diameter 14 cm.
Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.
The ratio of the total surface area of a sphere and a hemisphere of same radius is
If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is
If the radius of a solid hemisphere is 5 cm, then find its curved surface area and total surface area. ( π = 3.14 )
Find the volume of the hollow sphere whose inner diameter is 8 cm and the thickness of the material of which it is made is 1 cm .
From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find: the volume of remaining solid
A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones used.
