Question
Area of a rectangle is equal to the total surface area
of a hemisphere having volume 8192 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 = 8192 r3 = 4096 r = 16 So, the total surface area of the hemisphere = 3 × π × 16² = 3 × 3 × 16² = 2304 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 = 2304 x² = 1024 x = 32 So the breadth of the rectangle = 32 cm Length of the rectangle = 32 × 2.25 = 72 cm So the perimeter of the rectangle = 2 × (72 + 32) = 208 cm
For tech companies, demonstrating (A) / progress along this spectrum (B) / means delivering sustainability impact (C) / from core products and services....
According to scientists, keeping a mobile phone /for two years means that the carbon emissions used in/ manufacturing represent about half of all of the...
- Given below is a sentence with an error. The error is in one part of the sentence. Below the sentence are given the options containing the parts of the sen...
These students hope to build(1)/ a better life for themselves(2)/ and at the same time wish for a(3)/ united Korea to be able to(4 )/ finally meet thei...
The report tabled last year made a few recommendations of Ecologically Sensitive Zones as areas of high conservation value within the Ghats system.
After working very hardly (1)/ over a long time (2)/ he found that (3)/ people acknowledged him as a successful person (4)/ No error (5)
As the telegraph triggered the (A)/ development of newly technologies, communication (B)/ became progressively footloose, (C)/ liberated from the cons...
It is not difficult to sense country’s displeasure, even granting its rough diplomat disposition.
Coconut testa oil made from reuse of virgin coconut oil are fit for consumption.
It should worry us that the lives of Indians seem to in belittle value.
Relevant for Exams:
