मराठी

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 g. - Mathematics

Advertisements
Advertisements

प्रश्न

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 g.

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

 

उत्तर

Inner radius (r1) of cylindrical pipe = (24/2)cm = 12 cm

Outer radius (r2) of cylindrical pipe = (28/2)cm = 14 cm

Height (h) of pipe = Length of pipe = 35 cm

`"Volume of pipe "= pi(r_2^2-r_1^2)h`

`=[22/7xx(14^2-12^2)xx35]cm^3`

= 110 x 52 cm3

= 5720 cm3

Mass of 1 cm3 wood = 0.6 g

Mass of 5720 cm3 wood = (5720 × 0.6) g

= 3432 g

= 3.432 kg

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 13: Surface Area and Volumes - Exercise 13.6 [पृष्ठ २३०]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 9
पाठ 13 Surface Area and Volumes
Exercise 13.6 | Q 2 | पृष्ठ २३०

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m2, find

(i) Inner curved surface area of the vessel

(ii) Radius of the base

(iii) Capacity of the vessel

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

 


Water flows, at 9 km per hour, through a cylindrical pipe of cross-sectional area 25 cm2. If this water is collected into a rectangular cistern of dimensions 7.5 m by 5 m by 4 m; calculate the rise in level in the cistern in 1 hour 15 minutes.


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?


How much iron is needed to make a rod of length 90 cm and diameter 1.4 cm?


Two right circular solid cylinders have radii in the ratio 3 : 5 and heights in the ratio 2 : 3. Find the ratio between their volumes


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.


Collect some old postcards. You can also use thick paper of size 14 cm x 9 cm.
Fold the postcard along the width to make pipe 1. Join the ends with cello tape.
Take another postcard and fold it along the length to make pipe 2. Join the ends with tape.

  • Guess which pipe can take more sand inside it. Hold it on a plate and pour sand to check your guess. Was your guess correct? Discuss.

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is 1 : 2 : 3.


Volume of a cylinder is 330 cm3. The volume of the cone having same radius and height as that of the given cylinder 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×