Advertisements
Advertisements
Question
Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r cm.
Advertisements
Solution
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`
APPEARS IN
RELATED QUESTIONS
Find the surface area of a sphere of radius 5.6 cm.
`["Assume "pi=22/7]`
Find the surface area of a sphere of diameter 14 cm.
`["Assume "pi=22/7]`
Find the surface area of a sphere of diameter 14 cm.
The surface area of a sphere is 2464 cm2, find its volume.
The volume of one sphere is 27 times that of another sphere. Calculate the ratio of their :
- radii,
- surface areas.
A solid sphere of radius 15 cm is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate the number of cones recast.
A solid is in the form of a cone standing on a 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.
Mark the correct alternative in each of the following:
In a sphere the number of faces is
A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be
A spherical cannon ball, 28 cm in diameter is melted and recast into a right circular conical mould, the base of which is 35 cm in diameter. Find the height of the cone, correct to one place of decimal.
