Home
Class 10
MATHS
A cylindrical can, whose base is horizon...

A cylindrical can, whose base is horizontal and of radius 3-5 cm, contains sufficient water so that when a sphere is placed in the can, the water just covers the sphere. Given that the sphere just fits into the can, calculate :
the total surface area of the can in contact with water when the sphere is in it,

Text Solution

Verified by Experts

The correct Answer is:
`192.5 cm ^(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (G)|23 Videos
  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (E)|12 Videos
  • CONSTRUCTIONS (CIRCLES)

    ICSE|Exercise EXERCISE|39 Videos
  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(E)|68 Videos

Similar Questions

Explore conceptually related problems

A cylindrical can, whose base is horizontal and of radius 3-5 cm, contains sufficient water so that when a sphere is placed in the can, the water just covers the sphere. Given that the sphere just fits into the can, calculate : the depth of water in the can before the sphere was put into the can.

A cylindrical container with internal radius of its base 10 cm, contains water up to a height of 7 cm. Find the area of the wet surface of the cylinder.

How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm?

How many metallic balls of radius 1 cm can be recast by melting a metallic sphere of radius 8 cm?

How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm?

Find the rate of change of the volume of a sphere with respect to its surface area when the radius is 2cm.

Find the rate of change of the volume of a sphere with respect to its surface area when the radius is 2cm.

A solid metal sphere is cut through its centre into 2 equal parts. If the diameter of the sphere is 3 (1)/(2) cm, find the total surface area of each part correct to two decimal places.

A rectangular container, whose base is a square of side 5cm, stands on a horizontal table, and holds water upto 1cm from the top. When a cube is placed in the water it is completely submerged, the water rises to the top and 2 cubic cm of water overflows. Calculate the volume of the cube and also the length of its edge.

A ring, cylinder and solid sphere are placed on the top of a rough incline on which the sphere can just roll without slipping. When all of them are released at the same instant from the same position, then