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
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