मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता १०

The total surface area of a cylinder whose radius is 13 of its height is - Mathematics

Advertisements
Advertisements

प्रश्न

The total surface area of a cylinder whose radius is  `1/3` of its height is

पर्याय

  • `(9pi"h"^2)/8` sq.units

  • 24πh2 sq.units

  • `(8pi"h"^2)/9` sq.units

  • `(56pi"h"^2)/9` sq.units

MCQ

उत्तर

`(8pi"h"^2)/9` sq.units

Explanation;

Hint:

Let the height of the cylinder be "h"

Radius of the cylinder = `1/3` h

T.S.A of the cylinder = 2πr(h + r)

= `2pi xx "h"/3 ("h" + "h"/3)`

= `2pi xx "h"/3 ((4"h")/3)`

= `(8pi"h"^2)/9` sq.units

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Mensuration - Exercise 7.5 [पृष्ठ २९७]

APPEARS IN

सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
पाठ 7 Mensuration
Exercise 7.5 | Q 5 | पृष्ठ २९७

संबंधित प्रश्‍न

Curved surface area of a right circular cylinder is 4.4 m2. If the radius of the base of the cylinder is 0.7 m, find its height.

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

 


Rukhsar painted the outside of the cabinet, of measure 1 m × 2 m × 1.5 m. How much surface area did she cover if she painted all except the bottom of the cabinet?


The total surface area of a hollow metal cylinder, open at both ends of external radius 8 cm and height 10 cm is 338 p `cm^2`. Taking r to be inner radius, obtain an equation in r and use it to obtain the thickness of the metal in the cylinder.


The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions moving once over to level a playground. What is the area of the playground?


A hollow cylindrical pipe is 21 dm long. Its outer and inner diameters are 10 cm and 6 cm respectively. Find the volume of the copper used in making the pipe.

 

The diameter of the base of a right circular cylinder is 42 cm and its height is 10 cm. Find the volume of the cylinder.


A piece of ductile metal is in the form of a cylinder of diameter 1 cm and length 5 cm. It is drawnout into a wire of diameter 1 mm. What will be the length of the wire so formed?


In the example given below, the radius of the base of a cylinder and its height is given. Then find the curved surface area and total surface area.

r = 7 cm, h = 10 cm


Find the ratio of the volumes of the two cylinders formed by rolling an iron sheet 2.2m x 1.m ether along its length or by rolling along its breadth.


Curved surface area of a cylinder of radius h and height r is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×