Question
A cuboidal box has a length of 15 cm, a width of 12 cm,
and a height of 10 cm. A cylindrical hole of radius 3 cm and height equal to the cuboid is drilled through its center. Find the remaining volume of the box.Solution
Volume of the cuboid = l × w × h = 15 × 12 × 10 = 1800 cm³. Volume of the cylindrical hole = πr²h = (22/7) × 3² × 10 = (22/7) × 9 × 10 = 282.86 cm³. Remaining volume = 1800 - 282.86 = 1517.14 cm³ ≈ 1517 cm³.
For 3x² − 10x − 8 = 0, find (1/α + 1/β).
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. 3x<...
I. 2x2 - 9 x + 9 = 0Â
II. 2y2 - 7 y + 3 = 0
I. 8x² - 74x + 165 = 0
II. 15y² - 38y + 24 = 0
I. 3x2 - 16x - 12 = 0
II. 2y2 + 11y + 9 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
For what values of k does the equation x² – (k+1)x + k = 0 have two distinct real roots, both greater than 1?
l. x2 - 16x + 64 = 0
II. y2Â = 64
I. 66x² - 49x + 9 = 0
II. 46y² - 37y - 30 = 0
I. 3p² - 17p + 22 = 0
II. 5q² - 21q + 22 = 0
