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.
‘P’ who is 20% more efficient than ‘Q’ can finish a work in 15 days. ‘P’ and ‘Q’ start working together, but ‘Q’ leaves after 6 days...
30.22% of (61.9 × 5.01) + 59.97 =?Â
A shopkeeper marks up his goods by 25% and gives a discount of 10% on the marked price. If the cost price of the goods is ₹800, find the selling price.
Find the reciprocal of the complex number z = 9 – 4i.
A complex number z lies on or within a circle centered at (2, 0) with radius 5 units. What is the maximum value of |z – 2|?
Pipe X can fill a tank on its own in 12 hours, while Pipe Y can fill the same tank individually in 20 hours. Both pipes X and Y o...
What type of high-performance and costly computer can process data for hundreds or thousands of users at the same time?
Find the area enclosed between the curve y = √(25 – x²) and the x-axis in the first quadrant.
I). p 2  – 5p – 126 = 0
II). q 2  + 9q – 90 = 0
The population of a town increased to 13,520 in 2022 at a rate of 4% per annum. Find the population of that town in 2020.
