If the radius of the base of a right circular cylinder is decreased by 17% and its height is increased by 138%, then what is the percentage increase (rounded off to the closest integer) in its volume?
Given
Radius decrease = 17%
Height increase = 138%
Formula Used
Volume of cylinder =
Percentage Change = (- 1 ) × 100
Solution
Let original radius be r and original height be h.
Initial Volume
New radius = r × (1 - 0.17) = 0.83r
New height = h × (1 + 1.38) = 2.38h
New Volume
Increase in volume = 1.639582 - 1 = 0.639582
Percentage increase = 0.639582 × 100 = 63.9582%
Rounded off to the closest integer = 64%
Final Answer
So the correct answer is (a)
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Suggested Test Series
Suggested Test Series
If each edge of a cube is increased by 10%, then the percentage increase in its surface area is:
The price of fuel decreases by 45%, 35% and 30% in three successive months, but increases by 45% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price? (Round off the answer to two decimal places.)
If the radius of the base of a right circular cylinder is decreased by 17% and its height is increased by 138%, then what is the percentage increase (rounded off to the closest integer) in its volume?
The price of fuel decreases by 35%, 60% and 10% in three successive months but increases by 65% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price?
If 20% of a number is added to 96, then the result is the same number. 65% of the same number is
The price of fuel decreases by 50%, 35% and 50% in three successive months, but increases by 45% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price? (Round off the answer to two decimal places)
A person’s salary is first reduced by 30% and then increased by 40%. What is the overall percentage decrease in his salary?
The price of 1 kg of carrot on Monday is ₹40. If it is increased by 5% and 3% on the next two consecutive days, then what is its price (in ₹) on Wednesday?
Instead of increasing a number by 25%, a student decreased that number by 25% and then increased the obtained number by 25%. By what percentage is the answer less than the original number?
The price of fuel decreases by 40%, 60% and 60% in three successive months, but increases by 70% in the fourth month. What is the percentage increase or decrease in the price of fuel in the fourth month as compared to its original price?8597
