Question
A solid cylinder has a radius of 3 cm and a height of 10
cm. If it is melted and recast into a cone with a base radius of 3 cm, what will be the height of the cone?Solution
Volume of the cylinder = π * r² * h = π * (3²) * 10 = π * 9 * 10 = 90π cm³. Volume of the cone = (1/3) * π * r² * h Let the height of the cone be h: 90π = (1/3) * π * (3²) * h Cancel π: 90 = (1/3) * 9 * h 90 = 3h h = 30 cm. Correct option: b) 30 cm
Statements:
A ≤ B < D < I; O > W > Z > B = I;
Conclusions:
I) B > O
II) B > A
Which of the following terms will replace the question mark (?) in the given series?
NQLM, OSMO, PUNQ, QWOS, ?
Statements: L ≥ M = N > O, R < M ≤ P > Q
Conclusion:
I. O ≥ Q
II. R < L
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter cluster and th...
Which of the following interchange of signs would make the given equation correct?
42 ÷ 7 − 64 + 11 × 6 = 4
If first and last digit of each number is interchanged then which among the following represents the highest number thus formed?
845 766 ...
Select the option that represents the letters that, when placed from left to right in the following blanks, will complete the letter series.
A R ...
Find the odd one out.
‘Height’ is related to ‘Acrophobia’ in the same way as ‘Vomiting’ is related to ‘______’.
How is the word “Cleaning” coded in the given language?