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%
15.232 + 19.98% of 539.99 = ? × 8.99
647.1 ÷ ? + 72.3 × 209.81 – 8743.1 = 6404
(1560.23 ÷ 25.98) + (768.32 ÷ 23.9) + 1814.11 = ?
A train takes 8 seconds to pass a dog running in the opposite direction to the train at a speed of 10 m/s. Given that the train i...
? + 154.99 – 110.01 = 30.01 × 4.98
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
(3.21) ? + 37.92 ÷ 1.98 = (5.99 + 3.99) 2
74.91% of 639.95 – 599.98% of 45 + 119.987 = ?
1459.98 ÷ 40.48 × 12.12 = ? × 3.16
What is the smallest integer that should be subtracted from 653 to make it divisible by both 23 and 27?
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