Advertisements
Advertisements
Question
A spherical ball of radius r1 units is melted to make 8 new identical balls each of radius r2 units. Then r1 : r2 is
Options
2 : 1
1 : 2
4 : 1
1 : 4
Solution
2 : 1
Explanation;
Hint:
Volume of the first sphere : Volume of second sphere = 8 : 1
`4/3pi"r"_1^3 : 4/3 pi"r"_2^3` = 8 : 1
`"r"_1^3 : "r"_2^3` = 23 : 13
r1 : r2 = 2 : 1
APPEARS IN
RELATED QUESTIONS
Find the amount of water displaced by a solid spherical ball of diameter 0.21 m.
`["Assume "pi=22/7]`
The diameter of a sphere is decreased by 25%. By what per cent does its curved surface area decrease?
Find the volume of a sphere whose radius is 2 cm.
Find the volume of a sphere whose diameter is 2.1 m .
A hemispherical tank has inner radius of 2.8 m. Find its capacity in litres.
A cylinder whose height is two thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.
A cylindrical tub of radius 16 cm contains water to a depth of 30 cm. A spherical iron ball is dropped into the tub and thus level of water is raised by 9 cm. What is the radius of the ball?
A cylinder of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the cylinder and thus the level of water is raised by 6.75 cm. Find the radius of the ball.
(Use ЁЭЬЛ = 22/7).
A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.
Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r units.
