Question
A right circular cylinder having total surface area of
44352 cm2 is immersed in a vessel completely filled with water. If the height of the cylinder is 25% more than its radius, what is the amount of water displaced (in cm3)?Solution
Let the radius and height of the cylinder be r and h cm respectively. ∴ h = 1.25r Total surface area of the cylinder = 44352 = 2πr(h + r) ∴ 44352 = 2πr(1.25r + r) = 2πr(2.25r) = 4.5πr2 ∴ 44352 = (9/2) × (22/7) × r2 = 44352 x 7 x 2/22 x 9 ∴ r2 = 3136 ∴ r = 56 and h = 70 Amount of water displaced = Volume of the right circular cylinder = πr2h = (22/7) × (56)2 × (70) = 689920 cm³
R and S began a business with Rs. 2500 and Rs. 5000. After 8 months, T joined with Rs. ‘x’. If the total annual profit was Rs. 2700 and S’s share ...
Palash invest twice the sum invested by Vicky and withdraws half of the sum after 3 months and again withdraws half of the remaining sum after 3 months....
Ravi, Mohan, and Sunil started a firm by investing in the ratio 11:9:5 respectively. Sunil is the active partner managing the business, so he receives 1...
'A' and 'B' began a business with investments of Rs. 8,000 and Rs. 15,500, respectively. After five months, 'A' increased his investment by 50%, while '...
A invested Rs. ‘x’ for 3 months, then added Rs. 600 for another four months and left the business. B invested Rs. ‘x’ for the remaining period o...
A and B together started a business with initial investment in the ratio of 1:5, respectively. The time-period of investment for A and B is in the ratio...
'Pawan' and 'Qureshi' invested 9,000 and 12,000 rupees, respectively, to establish their businesses. 6 months later, 'Pawan' invests 'b' more money, and...
The contributions made by A and B are in the ratio of 2:1. If 10% of total profit is donated and A gets 5500 as his share of profit, what is the total p...
Aman and Bharat together begin a business by investing in the ratio 8:6 respectively. After 6 months, Chetan joins them with an investment equal to the ...
A & B invested Rs. 4X and Rs. (2X + 1000) for same period of time in a business. If A gets Rs. 4500 as profit share out of total profit of Rs...
Relevant for Exams:
