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प्रश्न
The internal and external diameters of a hollow hemisphere vessel are 21cm and 25.2 cm The cost of painting 1cm2 of the surface is 10paise. Find total cost to paint the vessel all
over______?
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उत्तर
Given that internal diameter of hollow hemisphere (r) = `21/2`cm = 10.5cm
External diameter(R) = `(25.2)/2`=12.6cm
Total surface area of hollow hemisphere
`=2piR^2+2pir^2+pi(R^2-r^2)`
`=2pi(12.6)^2+2pi(10.5)^2+pi(12.6^2-10.5^2)`
= 997.51 + 692.72 + 152.39
= 1843.38cm2
Given that cost of painting 1cm2 of surface = 10 ps
Total cost for painting 1843.38 cm2
= 1843.38 x 10 ps
= 184.338 Rs.
∴ Total cot to paint vessel all over = 184.338Rs.
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Khurja is a city in the Indian state of Uttar Pradesh famous for the pottery. Khurja pottery is traditional Indian pottery work which has attracted Indians as well as foreigners with a variety of tea sets, crockery and ceramic tile works. A huge portion of the ceramics used in the country is supplied by Khurja and is also referred as "The Ceramic Town". One of the private schools of Bulandshahr organised an Educational Tour for class 10 students to Khurja. Students were very excited about the trip. Following are the few pottery objects of Khurja.
Students found the shapes of the objects very interesting and they could easily relate them with mathematical shapes viz sphere, hemisphere, cylinder etc. |
Maths teacher who was accompanying the students asked the following questions:
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- If in the cylindrical jar full of water, a conical funnel of the same height and same diameter is immersed, then how much water will flow out of the jar?
3 cubes each of 8 cm edge are joined end to end. Find the total surface area of the cuboid.
