English

From a Rectangular Solid of Metal 42 Cm by 30 Cm by 20 Cm, a Conical Cavity of Diameter 14 Cm and Depth 24 Cm is Drilled Out. Find: - Mathematics

Advertisements
Advertisements

Question

From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find: the weight of the material drilled out if it weighs 7 gm per cm3.

Sum

Solution

Weight of material drilled out

=1232 × 7 g = 8624g = 8.624 kg 

shaalaa.com
  Is there an error in this question or solution?
Chapter 20: Cylinder, Cone and Sphere - Exercise 20 (E) [Page 311]

APPEARS IN

Selina Mathematics [English] Class 10 ICSE
Chapter 20 Cylinder, Cone and Sphere
Exercise 20 (E) | Q 3.3 | Page 311

RELATED QUESTIONS

Find the total surface area of a hemisphere of radius 10 cm. [Use π = 3.14]


A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

`["Assume "pi = 22/7]`


A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones.


Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.


Find the surface area of a sphere of diameter 14 cm .


Find the surface area of a sphere of diameter 21 cm .


Find the surface area of a sphere of diameter 3.5 cm .


The volume of a sphere is 38808 cm3; find its diameter and the surface area.


Eight metallic spheres; each of radius 2 mm, are melted and cast into a single sphere. Calculate the radius of the new sphere. 


The hollow sphere, in which the circus motor cyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.


Find the volume of a sphere whose surface area is 154 cm2.

 

If the surface area of a sphere is 144π m2, then its volume (in m3) is 


If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube is


If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is


A hemispherical and a conical hole is scooped out of a.solid wooden cylinder. Find the volume of the  remaining solid where the measurements are as follows:
The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm.

Give your answer correct to the nearest whole number.Taken`pi = 22/7`.


The model of a building is constructed with the scale factor 1 : 30. 
(i) If the height of the model is 80 cm, find the actual height of the building in meters.
(ii) If the actual volume of a tank at the top of the building is 27m3, find the volume of the tank on the top of the model. 


The radius of a sphere is 10 cm. If we increase the radius 5% then how many % will increase in volume?


The internal and external diameters of a hollow hemispherical vessel are 20 cm and 28 cm respectively. Find the cost to paint the vessel all over at ₹ 0.14 per cm2


A solid sphere is cut into two identical hemispheres.

Statement 1: The total volume of two hemispheres is equal to the volume of the original sphere.

Statement 2: The total surface area of two hemispheres together is equal to the surface area of the original sphere.

Which of the following is valid?


A manufacturing company prepares spherical ball bearings, each of radius 7 mm and mass 4 gm. These ball bearings are packed into boxes. Each box can have maximum of 2156 cm3 of ball bearings. Find the:

  1. maximum number of ball bearings that each box can have.
  2. mass of each box of ball bearings in kg.
    (use π = `22/7`)

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×