Get Started with ixamBee
Start learning 50% faster. Sign in now
As a metallic sphere is melted and recast into the shape of a cylinder, their volume must be the same. Volume of the sphere = Volume of the cylinder Let us find the volume of the sphere and cylinder by using formulae; Volume of the sphere = 4/3πr3 where r is the radius of the sphere Volume of the cylinder = πr2h where r and h are radius and height of the cylinder respectively Radius of the sphere, r₁ = 4.2 cm Radius of the cylinder, r₂ = 6 cm Let the height of the cylinder be h. Volume of sphere = Volume of cylinder 4/3πr₁3 = πr₂2h (4/3)r₁3 = r₂2h h = 4r₁3 / 3r₂2 = (4 × 4.2 cm × 4.2 cm × 4.2 cm) / (3 × 6 cm × 6 cm) = 2.744 cm Hence, the height of the cylinder so formed will be 2.744 cm.
A shopkeeper bought two articles for Rs. 250 each. If he sold one of them at 40% profit and the other at 20% loss, then find the difference between the ...
A shopkeeper purchased an article for Rs. ‘a’ and marked it 135% above its cost price and sold it after giving two successive discounts of 200 and 2...
Anil sold 12 cameras at a loss of 10%. If he had sold all the cameras for Rs. 1440 more, his overall profit would have been 20%. What is the cost price ...
A sum is lent at 20% pa compound interest. What is the ratio of increase in the amount in the 4th year to that in the 5th year?
A shopkeeper marked an article P% above its cost price and sold it for Rs. 480 after giving a discount of 20%. If the ratio of cost price and selling pr...
A shopkeeper marked an article P% above its cost price and sold it for Rs. 810 after giving a discount of 20%. If the shopkeeper had a loss of 7.4% on t...
The profit on selling an article for Rs.425 is the same as the loss on selling it for Rs.355, then the cost price of the article is
A merchant possesses 60 identical items, each marked up by 180% above the cost price. He sells 30 of these items at a 25% discount and the remaining 30 ...
The profit earned by selling an article for Rs. 4,800 is 5/8th the loss incurred on selling the same article for Rs. 3,200. Find the selling price of th...
