Question
A hemispherical bowl of internal radius 18 cm is full of
liquid. This liquid is to be filled in cylindrical bottles each of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?Solution
ATQ, Total volume of liquid in hemisphere = ((2/3) × π × 183) = 3888π cm3 Let the number of bottles be 'n' Then according to the question: 3888π = n × π × (3)2 × 6 n = 72 ∴ Total number of bottles = 72
25% of a number exceeds 1/6th of the same number by 7. What is the number?
A student had to find 5/12 of a certain number, but he mistakenly calculated 3/4 of that number. His answer turned out 90 more than the correct value. ...
Find the unit digit of the expression: 1! + 2! + 3! + 4! + 5! + ........ + 2027!.
325 mangoes are distributed among some boys and girls who are 60 in numbers. Each boys gets five mangoes and each girls gets six. The number of boys is :
Find the unit digit of the expression: 3! + 4! + 5! + 6! + ........ + 1111!.
Find the difference between minimum and maximum value of 'c' such that '5c4632' is always divisible by 3.
- A number 'x' is first multiplied by 11, and the result is subtracted from its square. After adding 24 to the resulting value, the final outcome is zero. Gi...
- If the 4-digit number a34b is exactly divisible by 9, what is the least value of (a + b)?
- Determine the value of 'n' if '87n9812' is always divisible by 9.
Twin prime numbers are the prime numbers whose difference is always equal to 2. The number of twin primes between 35 and 100 is:
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