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

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 - Mathematics

Advertisements
Advertisements

प्रश्न

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

बेरीज

उत्तर

Internal radius (r) = `20/2` = 10 cm

External radius (R) = `28/2` = 14 cm

T.S.A of a hollow hemisphere

= π (3R2 + r2) sq.units

= `22/7[3 xx 14^2 + 10^2]` cm2

= `22/7[588 + 100]` cm2

= `22/7 xx 688` cm2

Cost of painting the vessel

= `₹  0.14 xx 22/7 xx 688`

= `₹ 14/100 xx 22/7 xx 688`

= `₹  (2 xx 22 xx 688)/100`

= `₹  30272/100`

= ₹ 302.72 

Cost of painting = ₹ 302.72

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Mensuration - Exercise 7.1 [पृष्ठ २८२]

APPEARS IN

सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
पाठ 7 Mensuration
Exercise 7.1 | Q 9 | पृष्ठ २८२

संबंधित प्रश्‍न

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

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


A hollow sphere of internal and external radii 6 cm and 8 cm respectively is melted and recast into small cones of base radius 2 cm and height 8 cm. Find the number of cones.


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


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


If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball (in sq.cm) 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`.


Find the radius of a sphere whose surface area is equal to the area of the circle of diameter 2.8 cm 


A sphere has the same curved surface area as the curved surface area of a cone of height 36 cm and base radius 15 cm . Find the radius of the sphere . 


A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into conical shaped small containers each of diameter 3 cm and height 4 cm.  How many containers are necessary to empty the bowl?


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?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×