Question
If the radius of a cylinder is tripled and the height is
halved, then what is the ratio between the new volume and the previous volume?Solution
Old volume = πr2h New volume = π × R2 × H = π × (3r)2 × (h/2) Ratio of new volume to previous volume = π × (3r)2 × (h/2) ∶ πr2h Required ratio = (9/2) × πr2h ∶ πr2h = (9/2) ∶ 1 ∴ Required ratio = 9 ∶ 2
A number is initially increased by 37.5% and then reduced by 40%. The final value obtained after these changes is 6,270. Determine 80% of the original n...
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The value of
What is the remainder when 7³⁵ is divided by 5?
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A student was required to calculate 9/20 of a number, but by mistake he calculated 11/20 of it. His answer exceeded the correct one by 65. Find the number.
The smallest number 'Z' which when divided by 16, 24, and 48 leaves 3 as the remainder in each case. Find the value of ('4Z' + 7).
One-fourth of a number is 70. What will 40% of that number?
...Find the average of the cubes of the first 7 natural numbers.
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