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`
APPEARS IN
संबंधित प्रश्न
Find the surface area of a sphere of diameter 14 cm.
`["Assume "pi=22/7]`
Find the surface area of a sphere of diameter 3.5 m.
`["Assume "pi=22/7]`
The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.
Find the surface area of a sphere of diameter 14 cm.
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.
If the surface area of a sphere is 144π m2, then its volume (in m3) is
A solid metallic cylinder has a radius of 2 cm and is 45 cm tall. Find the number of metallic spheres of diameter 6 cm that can be made by recasting this cylinder .
The total area of a solid metallic sphere is 1256 cm2. It is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate: the number of cones recasted [π = 3.14]
Find the volume and surface area of a sphere of diameter 21 cm.
The surface area of a solid metallic sphere is 616 cm2. It is melted and recast into smaller spheres of diameter 3.5 cm. How many such spheres can be obtained?
