Question
A sphere of the greatest possible size is enclosed
within a cube whose edge length is 28 cm. Calculate the surface area (in cm²) of the sphere. (Take π = 22/7)Solution
ATQ,
The largest sphere that fits inside a cube will have a diameter equal to the cube’s edge. So, diameter of sphere = 28 cm Hence, radius of sphere = 28 / 2 = 14 cm Surface area of sphere = 4 × π × radius² = 4 × (22/7) × 14² = 4 × (22/7) × 196 = 4 × (4312/7) = 17248 / 7 = 2,464 cm²
Raj's income is ₹60,000 and his expenditure is ₹40,000. If his income is increased by 25% and expenditure by 15%, then what will be the percentage i...
In 2020, 62(1/2)% of employees in a company were male. In 2021, the total number of employees and the number of male employees increased by 28(4/7)% and...
Rakesh obtained 25% more marks than Ambuj Suresh obtained 40% less marks than Rakesh. Marks obtained by Suresh are what percent less than marks obtaine...
On Wednesday, the price of tomatoes increased by x% as compared to Tuesday and the price of tomatoes decreased by x/2% on Tuesday as compared to Monday....
In a school, 22% students like cricket, 44% students like rugby and the rest like football. If football lovers are 360 more than 50% of rugby lovers, fi...
A number is first increased by 50% and then decreased by 50%. If the net change in the number is 400, then find the original number.
- If a seller gives successive discounts of 30% and 5%, what is the net equivalent discount?
The original cost of a wheat flour bag is Rs. 3420. It is labeled with a percentage increase above its cost, denoted by 'p%', and then sold with a disco...
A gets 36% of the full marks in an exam and fails by 90 marks. B gets 38% of the full marks in the same exam and he also fails by 72 marks. What is the ...
A person initially spends 50% of his salary and saves the rest. After his salary increases by 30%, he continues to save the same amount but now spends R...
Relevant for Exams:
