Question
If the radius of the base and the height of a right
circular cone are increased by 10%, what is the approximate percentage increase in volume?Solution
Let the radius of the cone = x cm Height of the cone = y cm Volume of the cone = 1/3π r2h = 1/3πx2y After increment, Radius of the cone = 1.1x cm Height of the cone = 1.1y cm Volume of the cone = 1/3π × 1.1x × 1.1x × 1.1y = 1/3 π × 1.331x2 y Difference = 1/3 π × 1.331x2y - 1/3πx2y = 1/3π × 0.331x2y Required percentage = 1/3π × 0.331x2y/(1/3π × x2y) × 100 = 33.1%
Select the most appropriate indirect form of the given sentence.
I said to Promod, “How did you break your leg?”
“Hurry up, get in the bus” the conductor said to us.
The teacher said to the children,"The sun always sets in the west."
Select the option which correctly converts the given sentence into indirect speech.
The old man said, "Farewell my friends. May you live in peace...
He said that he ____________ the cycle to the repair shop the previous day.
He will say, ‘I am very busy.’
Select the most appropriate indirect/direct form of the given sentence.
He said to me, “if I were a king, I would help you”
Ramesh asked me to bring him a glass of water.
The lady said to the plumber, “Why didn’t you come last week? The RO machine has been making some noise for the last ten days.”
He said, "Why did you give up your job?"
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