English

Find the Weight of a Lead Pipe 35 Cm Long. the External Diameter of the Pipe is 2.4 Cm and Thickness of the Pipe is 2mm, Given 1 Cm3 of Lead Weighs 10 Gm. - Mathematics

Advertisements
Advertisements

Question

Find the weight of a lead pipe 35 cm long. The external diameter of the pipe is 2.4 cm and the thickness of the pipe is 2mm, given 1 cm3 of lead weighs 10 gm.

Sum

Solution

External radius 'R' = 1.2 cm
Internal radius 'r' = 1.0 cm      ...(Since internal radius = external radius - thickness)
Height 'h' = 35 cm

∴ Volume of the pipe = πh[ R2 - r2 ]
= `22/7` x 35 x [(1.2)2 - (1.0)2]
= 48.4 cm3
∴ Weight of lead pie = 10 x 48.4 = 484 gm.

shaalaa.com
  Is there an error in this question or solution?
Chapter 17: Mensuration - Exercise 1

APPEARS IN

ICSE Mathematics [English] Class 10
Chapter 17 Mensuration
Exercise 1 | Q 26

RELATED QUESTIONS

An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent above the ground is 85 m and height of the cylindrical part of 50 m. If the diameter of the base is 168 m, find the quantity of canvas required to make the tent. Allow 20% extra for fold and for stitching. Give your answer to the nearest m2.


What length of solid cylinder 2 cm in diameter must be taken to recast into a hollow cylinder of external diameter 20 cm, 0.25 cm thickand 15 cm long?


A cylindrical vessel of height 24 cm and diameter 40 cm is full of water. Find the exact number of small cylindrical bottles, each of height 10 cm and diameter 8 cm, which can be filled with this water.


The total surface area of a hollow cylinder, which is open from both the sides, is 3575 cm2; area of its base ring is 357.5 cm2 and its height is 14 cm. Find the thickness of the cylinder. 


A glass cylinder with a diameter 20 cm has water to a height of 9 cm. A metal cube of 8 cm edge is immersed in it completely. Calculate the height by which the water will up in the cylinder. Answer correct of the nearest mm. (Take π = 3.142)


Find the number of coins, 1.5 cm in diameter and 2 mm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm


The total surface area of a cone whose radius is `r/2` and slant height 2l is ______.


The volume of a cylinder which exactly fits in a cube of side a is ______.


Two cylinders of same volume have their radii in the ratio 1 : 6, then ratio of their heights is ______.


A solid metallic cylinder is cut into two identical halves along its height (as shown in the diagram). The diameter of the cylinder is 7 cm and the height is 10 cm.

Find:

  1. The total surface area (both the halves).
  2. The total cost of painting the two halves at the rate of ₹ 30 per cm2 `("Use"  π = 22/7)`.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×