Question
The radius and height of a right circular cone is
increased by 25%. Find the increase in percentage of the volume of the cone (rounded off to 2 decimal places).Solution
Let the original radius and height of the cone be 'r' and 'h' respectively. And after 25% increasing radius and height of the cone R and H. Then, original volume = 1/3 Ï€r²h.              25% =1/4 r =4  h =4 After increasing – R=5 and H =5 1/3 Ï€r²h =1/3 Ï€R2H 64 =125 Increasing percentage =61/64)×100 =95.3%                                                                                 Â
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: