Mathematics Mcqs

80% of 700 is calculated as 560.

560 is 80% of 700.

📊 Calculating the Ratio The ratios given are 4/3, 7/6, and 11/12. To simplify, we find a common denominator, leading to the ratio 16:14:11.
💰 Total Profit Calculation The total profit of 12300 rupees is divided based on the total of the simplified ratio parts, which sums to 41 (16+14+11).
👤 Share of the Third Partner The share of the third partner, represented by the ratio part 11, is calculated as (11/41) * 12300 = 3300 rupees

Find the volume of the larger tank:
Radius of the larger tank = Diameter / 2 = 2.4 m / 2 = 1.2 m
Volume of a cylinder = π * radius² * height
Volume of the larger tank = π * (1.2 m)² * 6.4 m
Volume of the larger tank ≈ 28.94 m³
2. Find the volume of the smaller containers:
Radius of the smaller container = 8.2 cm / 100 = 0.082 m
Height of the smaller container = 28 cm / 100 = 0.28 m
Volume of a smaller container = π * (0.082 m)² * 0.28 m
Volume of a smaller container ≈ 0.00059 m³
3. Calculate the number of smaller containers:
Number of containers = Volume of larger tank / Volume of smaller container
Number of containers ≈ 28.94 m³ / 0.00059 m³
Number of containers ≈ 49050.84
4. Since we can only have whole containers:
Number of complete smaller containers = 49050
Therefore, approximately 49050 smaller cylindrical containers can be completely filled using the oil from the larger tank.