Advertisements
Advertisements
प्रश्न
Total volume of three identical cones is the same as that of a bigger cone whose height is 9 cm and diameter 40 cm. Find the radius of the base of each smaller cone, if height of each is 108 cm.
Advertisements
उत्तर
Let the radius of the smaller cone be 'r' cm.
Volume of larger cone
= `1/3pi xx 20^2 xx 9`
Volume of smaller cone
= `1/3pi xx r^2 xx 108`
Volume of larger cone = 3 × Volume of smaller cone
`1/3pi xx 20^2 xx 9 = 1/3pi xx r^2 xx 108 xx 3`
`=> r^2 = (20^2 xx 9)/(108 xx 3)`
`=> r = 20/6 = 10/3`
APPEARS IN
संबंधित प्रश्न
Find the surface area of a sphere of radius 5.6 cm.
The surface area of a sphere is 5544 `cm^2`, find its diameter.
The volume of one sphere is 27 times that of another sphere. Calculate the ratio of their :
- radii,
- surface areas.
A hollow sphere of internal and external diameter 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.
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?
Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.
Find the volume of a sphere whose surface area is 154 cm2.
If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball (in sq.cm) is
If the radius of a solid hemisphere is 5 cm, then find its curved surface area and total surface area. ( π = 3.14 )
A vessel is in he form of an inverted cone. Its height is 11 cm., and the radius of its top which is open is 2.5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.25 cm., are dropped 2 into the vessel, `2/5`th of the water flows out. Find the number of lead shots dropped into the vessel.
