Question
Area of a rectangle is equal to the total surface area
of a hemisphere having volume 1458 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 = 1458 r3 = 729 r = 9 So, the total surface area of the hemisphere = 3 × π × 9² = 3 × 3 × 9² = 729 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 = 729 x² = 324 x = 18 So the breadth of the rectangle = 18 cm Length of the rectangle = 18 × 2.25 = 40.5 cm So the perimeter of the rectangle = 2 × (40.5 + 18) = 117 cm
Doubt pour over (A)/ me like hot fudge on (B)/ salted caramel ice cream. (C) / No error (D)
- Read each sentence to find out whether there is any grammatical error in it. The error, if any, will be in one part of the sentence. Mark the part with the...
this week since February 2018 / companies adding 18 oil rigs this week / U.S. energy firms added the most oil rigs / producers have been reducing spendi...
In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate optio...
Have we made headway in our attempts to save the world’s rain forests?
I was surprised (A) / when the hostess smiled (B) / as if she saw me before (C) / No Error (D)
Recently a number of (1)/ policemen was sentenced (2)/ to death for their complicity (3)/ in the murder (4)/ No error (5)
In the following questions, one part of the sentence may have an error. Find out which part of the sentence has an error and select the appropriate opti...
I have been knowing(1)/ him for the last(2)/ five years but now I don’t(3)/ know where he lives.(4)
Despite its widespread popularity (A)/among Florida's politicians, (B)/the bond cap statue was not (C)/entirely kosher from a constitutional point of vi...
