मराठी

A Spherical Ball of Diameter 21 Cm is Melted and Recast into Cubes, Each of Side 1 Cm. Find the Number of Cubes So Formed. - Mathematics

Advertisements
Advertisements

प्रश्न

A spherical ball of diameter 21 cm is melted and recast into cubes, each of side 1 cm. Find the number of cubes so formed.

बेरीज

उत्तर

Diameter of the spherical ball= 21 cm

Radius of the ball `=21/2 "cm"`

`4/3pir^3 = 4/3xx22/7xx21/2xx21/2xx21/2 = 11xx21xx21=4851  "cm"^3`

Volume of each cube` = 1^3 = 1 "cm"^3`

`"Number of cubes" = "Volume of spherical ball"/"Volume of each cube" = 4851/1 =4851`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 19: Volume and Surface Area of Solids - Exercise 19B [पृष्ठ ८९८]

APPEARS IN

आर एस अग्रवाल Mathematics [English] Class 10
पाठ 19 Volume and Surface Area of Solids
Exercise 19B | Q 14 | पृष्ठ ८९८

संबंधित प्रश्‍न

Find the surface area of a sphere of radius 7 cm.


Water is flowing at the rate of 15 km/hour through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in the pond rise by 21 cm?


A cylindrical tank full of water is emptied by a pipe at the rate of 225 litres per minute. How much time will it take to empty half the tank, if the diameter of its base is 3 m and its height is 3.5 m? [Use \[\pi = \frac{22}{7}\]]


A right circular cylinder and a right circular cone have equal bases and equal heights. If their curved surfaces are in the ratio 8 : 5, determine the ratio of the radius of the base to the height of either of them.


A hollow sphere of internal and external diameters 4 and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.


If the heights of two right circular cones are in the ratio 1 : 2 and the perimeters of their bases are in the ratio 3 : 4, what is the ratio of their volumes?


The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is


Water in a canal, 6 m wide and 1.5 m deep, is flowing at a speed of 4 km/hr. How much area will it irrigate in 10 minutes if 8 cm of standing water is needed for irrigation?


Two identical cubes each of volume 64 cm3 are joined together end to end. What is the surface area of the resulting cuboid?


A factory manufactures 120000 pencils daily. The pencils are cylindrical in shape each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×