हिंदी

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 - Mathematics

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • \[\frac{4}{3}\pi\]

  • \[\frac{10}{3}\pi\]

  • 5\[\pi\]

  • \[\frac{20}{3}\pi\]

MCQ

उत्तर

The radius of greatest sphere cut off from cylindrical log of wood should be radius of cylindrical log.

i.e., r = 1 cm

The volume of sphere

`=4/3 pi(1)^3`

`=4/3 pi cm^3`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Surface Areas and Volumes - Exercise 14.5 [पृष्ठ ८९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 14 Surface Areas and Volumes
Exercise 14.5 | Q 23 | पृष्ठ ८९

संबंधित प्रश्न

 

In Fig. 5, a tent is in the shape of a cylinder surmounted by a conical top of same diameter. If the height and diameter of cylindrical part are 2.1 m and 3 m respectively and the slant height of conical part is 2.8 m, find the cost of canvas needed to make the tent if the canvas is available at the rate of Rs. 500/sq. metre `( "Use "pi=22/7)`

 

Water is flowing at the rate of 2.52 km/h through a cylindrical pipe into a cylindrical tank, the radius of whose base is 40 cm. If the increase in the level of water in the tank, in half an hour is 3.15 m, find the internal diameter of the pipe.


The dimensions of a solid iron cuboid are 4·4 m × 2·6 m × 1·0 m. It is melted and recast into a hollow cylindrical pipe of 30 cm inner radius and thickness 5 cm. Find the length of the pipe


Find the ratio of the volumes of a cylinder and a cone having equal radius and equal height.
(A)1 : 2 (B) 2 : 1 (C) 1 : 3 (D) 3 : 1


Find the weight of a hollow sphere of metal having internal and external diameters as 20 cm and 22 cm, respectively if 1m3 of metal weighs 21g.


The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is


A hemispherical tank, full of water, is emptied by a pipe at the rate of  `25/7`  litres per second. How much time will it take to empty half the tank if the diameter of the base of the tank is 3 m?


In a corner of a rectangular field with dimensions 35m × 22 m, a well with 14 m inside diameter is dug 8 m deep. The earth dug out is spread evenly over the remaining part of the field. Find the rise in the level of the field.


The volume of a cube is 729 cm3. Find its surface area.


The surface area of a sphere is 616 cm2. Its radius is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×