The average price of three items of furniture is ₹15,165. If their prices are in the ratio 3 : 5 : 7, the price of the costliest item (in ₹) is:
The average price of three items of furniture is ₹15,165. If their prices are in the ratio 3 : 5 : 7, the price of the costliest item (in ₹) is:
तीन फर्नीचर वस्तुओं का औसत मूल्य ₹15,165 है। यदि उनके मूल्यों का अनुपात 3 : 5 : 7 है, तो सबसे महंगी वस्तु का मूल्य (₹ में) कितना है?
Detailed Solution & Logic
Correct Answer:
21,231
Volume of cone
$= \frac{1}{3}\pi r^2 h$
Given:
$6280 = \frac{1}{3} \times 3.14 \times 20^2 \times h$
$6280 = \frac{1}{3} \times 3.14 \times 400 \times h$
$6280 = \frac{1256h}{3}$
$18840 = 1256h$
$h = 15$
Now, slant height
$l = \sqrt{r^2+h^2}$
$= \sqrt{20^2+15^2}$
$= \sqrt{400+225}$
$= \sqrt{625}$
$= 25$
Curved surface area
$= \pi rl$
$= 3.14 \times 20 \times 25$
= 1570
Correct Answer: 1570
Similar Practice Questions
Three partners invested in a business in the ratio 6 : 9 : 8. They invested their capitals for 12 months, 10 months and 3 months, respectively. What was the ratio of their profits?
Three partners invested in a business in the ratio 6 : 9 : 8. They...
The ratio of milk and water in 90 liters of a mixture is 4 : 1. The ratio of milk and water in 90 liters of another mixture is 3 : 2. Find the positive difference between the quantities of milk in the two mixtures.
The ratio of milk and water in 90 liters of a mixture is 4 :...
In a park there are rabbits and pigeons in the ratio 4 : 9.
In a park there are rabbits and pigeons in the ratio 4 : 9. If...
The speeds of a bus and a car are in the ratio 7 : 11. If the car covers 396 km in 6 hours, then find the speed of the bus in km/h.
The speeds of a bus and a car are in the ratio 7 : 11....
Which of the following ratios is the greatest?
Which of the following ratios is the greatest? निम्नलिखित में से कौन-सा अनुपात सबसे बड़ा...
If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then what is the ratio a : c?
If a, b, c are three numbers such that a : b = 3 :...
In what ratio should sugar costing ₹38 per kg be mixed with sugar costing ₹55 per kg so that by selling the mixture at ₹57.20 per kg, there is a profit of 10%?
In what ratio should sugar costing ₹38 per kg be mixed with sugar costing ₹55...