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
From which constitution did India adopt the principle of 'procedure established by law'?
At which of the following places Ashoka did not go for pilgrimage?
Which of the Indian states has revealed that it will be hosting the Khelo India Youth Games and Para Games in the year 2025?
Who is the author of the book "The Pursuit of Reputation: Unlocking the Power of Public Relations"?
In which of the following year the Taj Mahal was inscribed in the World Heritage List of UNESCO?
Which word was added to the Preamble of the Indian Constitution by the 42nd Amendment Act, 1976?
According to the Cambridge Dictionary, which of these words has been declared as the word of the year for 2022?
The management of East India Company was vested in the hands of?
What category did India achieve in the FATF Mutual Evaluation?