Question
Area of a rectangle is equal to the total surface area
of a hemisphere having volume 13718 cm³ . Find the perimeter of the rectangle if its length is 125% more than its breath. (Take π = 3)Solution
Let, the radius of the hemisphere be ‘r’ cm. So according to question: 2/3 × 3 × r3 = 13718 r3 = 6859 r = 19 So, the total surface area of the hemisphere = 3 × π × 19² = 3 × 3 × 19² = 3249 cm² Let the breadth of the rectangle be ‘x’ cm So the length of the rectangle = 2.25x cm According to question: x × 2.25x = 3249 x² = 1444 x = 38 So the breadth of the rectangle = 38 cm Length of the rectangle = 38 × 2.25 = 85.5 cm So the perimeter of the rectangle = 2 × (85.5 + 38) = 247 cm
Rohan purchased an item for which there was a 13.5% discount offered on the part of the payment made in cash and a 6.25% surcharge on the part of the p...
Amit sold an article for ₹369.60 after allowing 12% discount on the marked price. Had he not allowed any discount he would have earned a profit of 20%...
The marked price of a pen and pencil is in the ratio of 5:6. The shopkeeper gives a 10% discount on the pen. If the total discount on both the pen and t...
What is the single discount equivalent to the successive discounts of 15%, 25%, and 5%?
A shopkeeper sold an article for Rs. 840 after giving a discount of 20%. What was the marked price of the article?
Sanjay ate in a restaurant and got a membership discount of 40% on the original bill amount but he has to pay 12% as service tax and 6% service charge o...
A single discount equivalent to three successive discounts of 10%, 12% and 15% is.
Article X whose cost price is 1800 is marked 90% above its cost price. Article Y whose cost price is 1890 is sold at a profit of 33.33%. If the selling ...
A shopkeeper sells an item at ₹1500 which is marked as ₹2000. What is the discount he is offering? Â
A chair is sold for Rs810 after giving a discount of 10% on its marked price. The cost price of the chair is Rs720. If it is sold at the marked price, t...
