Advertisements
Advertisements
Question
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 .
Advertisements
Solution
Radius of the solid cylinder (r) = 2 cm
Height of cylinder (h) = 45 cm
Volume of cylinder = `pir^2h`
= `22/7 xx 2 xx 2 xx 45`
= `3960/7` cm3
Diameter of metallic sphere = 6 cm
Therefore, Radius (r1) = 3 cm
Volume of sphere = `4/3pi(r1)^3`
= `4/3 xx 22/7 xx 3 xx 3 xx 3`
= `792/7`cm3
Therefore, No. of spheres = `3960/7 + 792/7 = 5`
Number of spheres that can be made = 5
APPEARS IN
RELATED QUESTIONS
Find the surface area of a sphere of diameter 14 cm.
`["Assume "pi=22/7]`
Find the surface area of a sphere of radius 10.5 cm.
Find the total surface area of a hemisphere and a solid hemisphere each of radius 10 cm.
(Use ЁЭЬЛ = 3.14)
How many balls each of radius 1 cm can be made by melting a bigger ball whose diameter is 8 cm?
Eight metallic spheres; each of radius 2 mm, are melted and cast into a single sphere. Calculate the radius of the new sphere.
A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.
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
If the surface area of a sphere is 2826 cm2 then find its volume. ( π= 3.14)
The total surface area of a hemisphere is how many times the square of its radius
