Question
A solid metal sphere of radius 6 cm is melted and recast
into smaller solid spheres each of radius 3 cm. How many such smaller spheres can be made?Solution
Volume of original sphere: V = (4/3)πR³ = (4/3)π × 6³ = (4/3)π × 216 = 288π Volume of one small sphere (r = 3 cm): v = (4/3)πr³ = (4/3)π × 3³ = (4/3)π × 27 = 36π Number of small spheres = 288π / 36π = 8 Answer: 8 spheres.
- 32% of 40% of 500 = q + 12, find the sum of squares of the digits in ‘q’.
- The six-digit number '83219y' is divisible by 6, but not by 5. What is the value of (2y + 5)?
- Find the remainder when the denominator of 'k' is divided by its numerator, if 'k' is the fraction to be subtracted from (3/4) to result in (1/6).
A told B, "If you give me half of the money that you have, then I will have Rs 110 and if I give you half of my money then you will have Rs 100." How mu...
The mean of three distinct numbers is 30. If the third number is to the combined total of the first two numbers in the ratio 16:29, what is the sum of t...
If we add 1 to the numerator and subtract 1 from the denominator a fraction becomes 1. It becomes 1/4 if we only add 7 to the denominator what is the fr...
Find the sum of the first 70 natural numbers.
What is the smallest number that needs to be added to 978 to make it a multiple of 37?
Find the Sum of all the even Factors of ‘240’
- Find the median of the following observations:
21, 28, 33, 19, 25, 30, 27
