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`
RELATED QUESTIONS
Find the surface area of a sphere of diameter 14 cm.
`["Assume "pi=22/7]`
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.
Eight metallic spheres; each of radius 2 mm, are melted and cast into a single sphere. Calculate the radius of the new sphere.
If the number of square centimeters on the surface of a sphere is equal to the number of cubic centimeters in its volume, what is the diameter of the sphere?
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 sphere and a cube are of the same height. The ratio of their volumes is
Find the surface area and volume of sphere of the following radius. (π = 3.14 )
9 cm
Find the surface area of a sphere, if its volume is 38808 cubic cm. `(π = 22/7)`
Find the length of the wire of diameter 4 m that can be drawn from a solid sphere of radius 9 m.
There is surface area and volume of a sphere equal, find the radius of sphere.
