Advertisements
Advertisements
Question
How many lead balls of radii 1 cm each can be made from a sphere of 8 cm radius?
Advertisements
Solution
Volume of sphere = `4/3pir^3`
Volume of sphere = `4/3pi8^3`
= `4/3pi512`
= `682.6667pi`
Volume of lead ball = `4/3pi1^3`
= `1.333333pi`
No. of lead balls that can be made = `(682.6667pi)/(1.333333pi) = 512`
No. of lead balls that can be made = 512
APPEARS IN
RELATED QUESTIONS
A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base
of the cone is 16 cm and its height is 15 cm. Find the cost of painting the toy at Rs. 7 per 100
`cm^2`.
The surface area of a sphere is 2464 cm2, find its volume.
Eight metallic spheres; each of radius 2 mm, are melted and cast into a single sphere. Calculate the radius of the new sphere.
A solid rectangular block of metal 49 cm by 44 cm by 18 cm is melted and formed into a solid sphere. Calculate the radius of the sphere.
The hollow sphere, in which the circus motor cyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.
If a sphere of radius 2r has the same volume as that of a cone with circular base of radius r, then find the height of the cone.
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
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
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is
The surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate : the number of cones recast. `("Take" pi =22/7)`
